resolução da equaçao do segundo grau - Initial Deployment
Browse files- README.md +7 -5
- index.html +294 -19
README.md
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---
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title:
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emoji:
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colorFrom:
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colorTo:
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sdk: static
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pinned: false
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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---
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title: equa-o-2
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emoji: 🐳
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colorFrom: gray
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colorTo: red
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sdk: static
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pinned: false
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tags:
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- deepsite
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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index.html
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<!
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<html>
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| 1 |
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<!DOCTYPE html>
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| 2 |
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<html lang="pt-BR">
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| 3 |
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<head>
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<meta charset="UTF-8">
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| 5 |
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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| 6 |
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<title>Calculadora de Equação do 2º Grau</title>
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<script src="https://cdn.tailwindcss.com"></script>
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| 8 |
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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
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| 9 |
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<style>
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| 10 |
+
.math-display {
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| 11 |
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font-family: 'Times New Roman', Times, serif;
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| 12 |
+
font-style: italic;
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| 13 |
+
}
|
| 14 |
+
.solution-step {
|
| 15 |
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transition: all 0.3s ease;
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| 16 |
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}
|
| 17 |
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.solution-step:hover {
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| 18 |
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transform: translateX(5px);
|
| 19 |
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background-color: rgba(243, 244, 246, 0.5);
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| 20 |
+
}
|
| 21 |
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.input-highlight {
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| 22 |
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box-shadow: 0 0 0 2px rgba(59, 130, 246, 0.5);
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| 23 |
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}
|
| 24 |
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</style>
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| 25 |
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</head>
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| 26 |
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<body class="bg-gradient-to-br from-blue-50 to-indigo-100 min-h-screen">
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<div class="container mx-auto px-4 py-8 max-w-4xl">
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<div class="text-center mb-8">
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<h1 class="text-4xl font-bold text-indigo-800 mb-2">Calculadora de Equação Quadrática</h1>
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<p class="text-lg text-gray-600">Resolva equações do segundo grau no formato ax² + bx + c = 0</p>
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</div>
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+
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<div class="bg-white rounded-xl shadow-lg overflow-hidden mb-8">
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| 34 |
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<div class="p-6">
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| 35 |
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<div class="flex flex-col md:flex-row gap-6">
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| 36 |
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<div class="flex-1">
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| 37 |
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<h2 class="text-2xl font-semibold text-gray-800 mb-4">Insira os coeficientes</h2>
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| 38 |
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| 39 |
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<div class="space-y-4">
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<div>
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| 41 |
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<label for="a" class="block text-sm font-medium text-gray-700 mb-1">Coeficiente a (x²)</label>
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| 42 |
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<div class="relative">
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| 43 |
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<input type="number" id="a" class="w-full px-4 py-3 rounded-lg border border-gray-300 focus:outline-none focus:ring-2 focus:ring-indigo-500 input-highlight" placeholder="Ex: 1" step="any">
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<div class="absolute inset-y-0 right-0 flex items-center pr-3 pointer-events-none text-gray-400">
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<span class="math-display">x² +</span>
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</div>
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</div>
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| 48 |
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</div>
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+
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<div>
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<label for="b" class="block text-sm font-medium text-gray-700 mb-1">Coeficiente b (x)</label>
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<div class="relative">
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| 53 |
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<input type="number" id="b" class="w-full px-4 py-3 rounded-lg border border-gray-300 focus:outline-none focus:ring-2 focus:ring-indigo-500 input-highlight" placeholder="Ex: 5" step="any">
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| 54 |
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<div class="absolute inset-y-0 right-0 flex items-center pr-3 pointer-events-none text-gray-400">
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<span class="math-display">x +</span>
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</div>
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</div>
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+
</div>
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+
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<div>
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<label for="c" class="block text-sm font-medium text-gray-700 mb-1">Coeficiente c</label>
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<div class="relative">
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<input type="number" id="c" class="w-full px-4 py-3 rounded-lg border border-gray-300 focus:outline-none focus:ring-2 focus:ring-indigo-500 input-highlight" placeholder="Ex: 6" step="any">
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| 64 |
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<div class="absolute inset-y-0 right-0 flex items-center pr-3 pointer-events-none text-gray-400">
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<span class="math-display">= 0</span>
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</div>
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| 67 |
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</div>
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| 68 |
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</div>
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| 69 |
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</div>
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| 70 |
+
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| 71 |
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<div class="mt-6">
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| 72 |
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<button onclick="solveEquation()" class="w-full bg-indigo-600 hover:bg-indigo-700 text-white font-medium py-3 px-4 rounded-lg transition duration-300 flex items-center justify-center gap-2">
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<i class="fas fa-calculator"></i>
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Calcular Raízes
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</button>
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| 76 |
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</div>
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</div>
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| 78 |
+
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<div class="flex-1">
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<h2 class="text-2xl font-semibold text-gray-800 mb-4">Sua equação</h2>
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| 81 |
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<div class="bg-gray-50 p-4 rounded-lg h-32 flex items-center justify-center">
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| 82 |
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<p id="equation-display" class="text-2xl math-display text-center text-gray-700">
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| 83 |
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<span class="text-gray-400">ax² + bx + c = 0</span>
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</p>
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</div>
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| 86 |
+
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<div class="mt-4">
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<div class="flex items-center gap-2 text-sm text-gray-600">
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| 89 |
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<i class="fas fa-info-circle text-indigo-500"></i>
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<span>Insira os coeficientes para ver a equação formatada</span>
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</div>
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</div>
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| 93 |
+
</div>
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| 94 |
+
</div>
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| 95 |
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</div>
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| 96 |
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</div>
|
| 97 |
+
|
| 98 |
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<div id="solution-container" class="bg-white rounded-xl shadow-lg overflow-hidden hidden">
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| 99 |
+
<div class="p-6">
|
| 100 |
+
<h2 class="text-2xl font-semibold text-gray-800 mb-4 flex items-center gap-2">
|
| 101 |
+
<i class="fas fa-brain text-indigo-600"></i>
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| 102 |
+
Passo a Passo da Solução
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| 103 |
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</h2>
|
| 104 |
+
|
| 105 |
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<div id="solution-steps" class="space-y-4">
|
| 106 |
+
<!-- Steps will be inserted here by JavaScript -->
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| 107 |
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</div>
|
| 108 |
+
|
| 109 |
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<div class="mt-6 pt-4 border-t border-gray-200">
|
| 110 |
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<h3 class="text-xl font-medium text-gray-800 mb-2 flex items-center gap-2">
|
| 111 |
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<i class="fas fa-chart-line text-green-600"></i>
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| 112 |
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Resultado Final
|
| 113 |
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</h3>
|
| 114 |
+
<div id="final-result" class="bg-green-50 p-4 rounded-lg">
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| 115 |
+
<!-- Final result will be inserted here -->
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| 116 |
+
</div>
|
| 117 |
+
</div>
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| 118 |
+
</div>
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| 119 |
+
</div>
|
| 120 |
+
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| 121 |
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<div class="mt-8 bg-indigo-50 rounded-lg p-4 border border-indigo-100">
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| 122 |
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<h3 class="text-lg font-medium text-indigo-800 mb-2 flex items-center gap-2">
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| 123 |
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<i class="fas fa-lightbulb text-indigo-600"></i>
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| 124 |
+
Sobre a Fórmula Quadrática
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| 125 |
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</h3>
|
| 126 |
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<p class="text-gray-700 mb-3">
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| 127 |
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A fórmula quadrática para resolver equações do segundo grau é:
|
| 128 |
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</p>
|
| 129 |
+
<div class="bg-white p-3 rounded-md shadow-sm text-center mb-3">
|
| 130 |
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<p class="text-xl math-display font-medium">
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| 131 |
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x = [-b ± √(b² - 4ac)] / (2a)
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</p>
|
| 133 |
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</div>
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| 134 |
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<p class="text-gray-700">
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| 135 |
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O discriminante Δ = b² - 4ac determina a natureza das raízes:
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| 136 |
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</p>
|
| 137 |
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<ul class="list-disc pl-5 mt-2 space-y-1 text-gray-700">
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| 138 |
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<li>Δ > 0: Duas raízes reais distintas</li>
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| 139 |
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<li>Δ = 0: Uma raiz real dupla</li>
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| 140 |
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<li>Δ < 0: Duas raízes complexas conjugadas</li>
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| 141 |
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</ul>
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| 142 |
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</div>
|
| 143 |
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</div>
|
| 144 |
+
|
| 145 |
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<script>
|
| 146 |
+
// Update equation display in real-time
|
| 147 |
+
document.querySelectorAll('input').forEach(input => {
|
| 148 |
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input.addEventListener('input', updateEquationDisplay);
|
| 149 |
+
});
|
| 150 |
+
|
| 151 |
+
function updateEquationDisplay() {
|
| 152 |
+
const a = document.getElementById('a').value || 'a';
|
| 153 |
+
const b = document.getElementById('b').value || 'b';
|
| 154 |
+
const c = document.getElementById('c').value || 'c';
|
| 155 |
+
|
| 156 |
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// Format the equation with proper signs
|
| 157 |
+
let equation = '';
|
| 158 |
+
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| 159 |
+
// Handle a term
|
| 160 |
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if (a === '1') equation += 'x²';
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| 161 |
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else if (a === '-1') equation += '-x²';
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| 162 |
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else equation += `${a}x²`;
|
| 163 |
+
|
| 164 |
+
// Handle b term
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| 165 |
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if (b[0] === '-') {
|
| 166 |
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equation += ` - ${b.slice(1) === '1' ? '' : b.slice(1)}x`;
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| 167 |
+
} else {
|
| 168 |
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equation += ` + ${b === '1' ? '' : b}x`;
|
| 169 |
+
}
|
| 170 |
+
|
| 171 |
+
// Handle c term
|
| 172 |
+
if (c[0] === '-') {
|
| 173 |
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equation += ` - ${c.slice(1)}`;
|
| 174 |
+
} else {
|
| 175 |
+
equation += ` + ${c}`;
|
| 176 |
+
}
|
| 177 |
+
|
| 178 |
+
equation += ' = 0';
|
| 179 |
+
|
| 180 |
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// Special case when all are empty
|
| 181 |
+
if (a === 'a' && b === 'b' && c === 'c') equation = 'ax² + bx + c = 0';
|
| 182 |
+
|
| 183 |
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document.getElementById('equation-display').innerHTML = equation;
|
| 184 |
+
}
|
| 185 |
+
|
| 186 |
+
function solveEquation() {
|
| 187 |
+
const a = parseFloat(document.getElementById('a').value);
|
| 188 |
+
const b = parseFloat(document.getElementById('b').value);
|
| 189 |
+
const c = parseFloat(document.getElementById('c').value);
|
| 190 |
+
|
| 191 |
+
// Validate inputs
|
| 192 |
+
if (isNaN(a) || isNaN(b) || isNaN(c)) {
|
| 193 |
+
alert('Por favor, insira valores válidos para todos os coeficientes.');
|
| 194 |
+
return;
|
| 195 |
+
}
|
| 196 |
+
|
| 197 |
+
if (a === 0) {
|
| 198 |
+
alert('O coeficiente "a" não pode ser zero em uma equação quadrática.');
|
| 199 |
+
return;
|
| 200 |
+
}
|
| 201 |
+
|
| 202 |
+
// Clear previous solution
|
| 203 |
+
document.getElementById('solution-steps').innerHTML = '';
|
| 204 |
+
document.getElementById('final-result').innerHTML = '';
|
| 205 |
+
|
| 206 |
+
// Show solution container
|
| 207 |
+
document.getElementById('solution-container').classList.remove('hidden');
|
| 208 |
+
|
| 209 |
+
// Calculate discriminant
|
| 210 |
+
const discriminant = b * b - 4 * a * c;
|
| 211 |
+
|
| 212 |
+
// Add steps to solution
|
| 213 |
+
addSolutionStep(`1. Identificamos os coeficientes: a = ${a}, b = ${b}, c = ${c}`);
|
| 214 |
+
addSolutionStep(`2. Calculamos o discriminante Δ = b² - 4ac`);
|
| 215 |
+
addSolutionStep(` Δ = (${b})² - 4 × ${a} × ${c} = ${b*b} - ${4*a*c} = ${discriminant}`);
|
| 216 |
+
|
| 217 |
+
if (discriminant > 0) {
|
| 218 |
+
addSolutionStep(`3. Como Δ > 0, a equação tem duas raízes reais distintas`);
|
| 219 |
+
const sqrtDiscriminant = Math.sqrt(discriminant);
|
| 220 |
+
addSolutionStep(`4. Calculamos a raiz quadrada do discriminante: √${discriminant} ≈ ${sqrtDiscriminant.toFixed(4)}`);
|
| 221 |
+
|
| 222 |
+
const x1 = (-b + sqrtDiscriminant) / (2 * a);
|
| 223 |
+
const x2 = (-b - sqrtDiscriminant) / (2 * a);
|
| 224 |
+
|
| 225 |
+
addSolutionStep(`5. Aplicamos a fórmula quadrática:`);
|
| 226 |
+
addSolutionStep(` x = [ -(${b}) ± ${sqrtDiscriminant.toFixed(4)} ] / (2 × ${a})`);
|
| 227 |
+
addSolutionStep(` x₁ = [ ${-b} + ${sqrtDiscriminant.toFixed(4)} ] / ${2*a} ≈ ${x1.toFixed(4)}`);
|
| 228 |
+
addSolutionStep(` x₂ = [ ${-b} - ${sqrtDiscriminant.toFixed(4)} ] / ${2*a} ≈ ${x2.toFixed(4)}`);
|
| 229 |
+
|
| 230 |
+
// Final result
|
| 231 |
+
document.getElementById('final-result').innerHTML = `
|
| 232 |
+
<p class="text-lg font-medium text-gray-800">A equação tem duas raízes reais:</p>
|
| 233 |
+
<div class="mt-2 grid grid-cols-1 md:grid-cols-2 gap-4">
|
| 234 |
+
<div class="bg-blue-50 p-3 rounded-lg">
|
| 235 |
+
<p class="text-sm text-blue-600">Primeira raiz (x₁)</p>
|
| 236 |
+
<p class="text-xl math-display font-bold">${x1.toFixed(4)}</p>
|
| 237 |
+
</div>
|
| 238 |
+
<div class="bg-blue-50 p-3 rounded-lg">
|
| 239 |
+
<p class="text-sm text-blue-600">Segunda raiz (x₂)</p>
|
| 240 |
+
<p class="text-xl math-display font-bold">${x2.toFixed(4)}</p>
|
| 241 |
+
</div>
|
| 242 |
+
</div>
|
| 243 |
+
`;
|
| 244 |
+
}
|
| 245 |
+
else if (discriminant === 0) {
|
| 246 |
+
addSolutionStep(`3. Como Δ = 0, a equação tem uma raiz real dupla`);
|
| 247 |
+
const x = -b / (2 * a);
|
| 248 |
+
|
| 249 |
+
addSolutionStep(`4. Aplicamos a fórmula quadrática simplificada:`);
|
| 250 |
+
addSolutionStep(` x = -b / (2a) = -(${b}) / (2 × ${a}) = ${x.toFixed(4)}`);
|
| 251 |
+
|
| 252 |
+
// Final result
|
| 253 |
+
document.getElementById('final-result').innerHTML = `
|
| 254 |
+
<p class="text-lg font-medium text-gray-800">A equação tem uma raiz real dupla:</p>
|
| 255 |
+
<div class="mt-2 bg-blue-50 p-4 rounded-lg">
|
| 256 |
+
<p class="text-xl math-display font-bold text-center">${x.toFixed(4)}</p>
|
| 257 |
+
</div>
|
| 258 |
+
`;
|
| 259 |
+
}
|
| 260 |
+
else {
|
| 261 |
+
addSolutionStep(`3. Como Δ < 0, a equação não tem raízes reais, mas duas raízes complexas conjugadas`);
|
| 262 |
+
const realPart = -b / (2 * a);
|
| 263 |
+
const imaginaryPart = Math.sqrt(-discriminant) / (2 * a);
|
| 264 |
+
|
| 265 |
+
addSolutionStep(`4. Calculamos as partes real e imaginária:`);
|
| 266 |
+
addSolutionStep(` Parte Real = -b / (2a) = -(${b}) / (2 × ${a}) = ${realPart.toFixed(4)}`);
|
| 267 |
+
addSolutionStep(` Parte Imaginária = √|Δ| / (2a) = √${-discriminant} / ${2*a} ≈ ${imaginaryPart.toFixed(4)}`);
|
| 268 |
+
|
| 269 |
+
// Final result
|
| 270 |
+
document.getElementById('final-result').innerHTML = `
|
| 271 |
+
<p class="text-lg font-medium text-gray-800">A equação tem duas raízes complexas conjugadas:</p>
|
| 272 |
+
<div class="mt-2 grid grid-cols-1 md:grid-cols-2 gap-4">
|
| 273 |
+
<div class="bg-purple-50 p-3 rounded-lg">
|
| 274 |
+
<p class="text-sm text-purple-600">Primeira raiz (x₁)</p>
|
| 275 |
+
<p class="text-xl math-display font-bold">${realPart.toFixed(4)} + ${Math.abs(imaginaryPart).toFixed(4)}i</p>
|
| 276 |
+
</div>
|
| 277 |
+
<div class="bg-purple-50 p-3 rounded-lg">
|
| 278 |
+
<p class="text-sm text-purple-600">Segunda raiz (x₂)</p>
|
| 279 |
+
<p class="text-xl math-display font-bold">${realPart.toFixed(4)} - ${Math.abs(imaginaryPart).toFixed(4)}i</p>
|
| 280 |
+
</div>
|
| 281 |
+
</div>
|
| 282 |
+
`;
|
| 283 |
+
}
|
| 284 |
+
}
|
| 285 |
+
|
| 286 |
+
function addSolutionStep(text) {
|
| 287 |
+
const stepDiv = document.createElement('div');
|
| 288 |
+
stepDiv.className = 'solution-step bg-gray-50 p-3 rounded-lg';
|
| 289 |
+
stepDiv.innerHTML = `<p class="text-gray-800">${text}</p>`;
|
| 290 |
+
document.getElementById('solution-steps').appendChild(stepDiv);
|
| 291 |
+
}
|
| 292 |
+
</script>
|
| 293 |
+
<p style="border-radius: 8px; text-align: center; font-size: 12px; color: #fff; margin-top: 16px;position: fixed; left: 8px; bottom: 8px; z-index: 10; background: rgba(0, 0, 0, 0.8); padding: 4px 8px;">Made with <img src="https://enzostvs-deepsite.hf.space/logo.svg" alt="DeepSite Logo" style="width: 16px; height: 16px; vertical-align: middle;display:inline-block;margin-right:3px;filter:brightness(0) invert(1);"><a href="https://enzostvs-deepsite.hf.space" style="color: #fff;text-decoration: underline;" target="_blank" >DeepSite</a> - 🧬 <a href="https://enzostvs-deepsite.hf.space?remix=Luiz74/equa-o-2" style="color: #fff;text-decoration: underline;" target="_blank" >Remix</a></p></body>
|
| 294 |
+
</html>
|