title: How to solve a system with 3 unknowns and 2 equations depending on a parameter in python
body: <p>I have these two equation below. I want to solve this system parametrically.</p>
  <pre><code>1.182 * a == 4.0 * b + 4.0
  
  a^2 == 4.0 * b * c + 4.0
  </code></pre>
  <p>It is possible to solve it via MATLAB with the function below. It solves b and c with respect to a.</p>
  <pre><code>  sol = solve(prob,[b,c]);
  </code></pre>
  <p>result:</p>
  <pre><code>b: 0.2956 * a - 1.0 
  
  c: (5.629e+14 * a^2 - 2.252e+15) / (6.656e+14 * a - 2.252e+15)
  </code></pre>
  <p>How can I get the same result in python. I couldn't find a similar function.</p>