SOLUTION: How do you find a quadratic equation if you are only given the solution? Is it possible to have different equadratic equations with the same solution?

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Question 569266: How do you find a quadratic equation if you are only given the solution? Is it possible to have different equadratic equations with the same solution?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the quadratic equation given the roots. Suppose the roots are p and q (quadratics will only have two roots). Then x-p and x-q are factors of the quadratic, and the quadratic will look like



There are infinitely many quadratics that satisfy, but they will all differ by a constant factor, i.e.



where C is any constant not equal to 0.