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Full Answer. A double root can be confirmed mathematically by examining the equation for solving a second-degree polynomial. If the discriminant, or square root of b^2-4*a*c, is equal to zero, then the equation has a double root. Finishing calculating the solution of the equation will yield two answers of the exact same magnitude.
The mathematical expression The (principal) square root of x. In mathematics, a square root of a number a is a number y such that y2 = a, in other words, a number y whose square (the result of multiplying the number by itself, or y Ã y) is a. For example, 4 and â4 are square roots of 16 because 42 = (â4)2 = 16. Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by âa, where â is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted â9 = 3, because 32 = 3 Ã 3 = 9 and 3 is non-negative.