Algebra

How do you find a quadratic equation if you are only given the solution?

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  1. There are an infinite number of equations that will give the same answer, but they are not independent.

    Quadratic equations have two solutions. Suppose they are a and b.

    One equation with those two solutions is
    (x-a)(x-b) = x^2 -(a+b)x + ab = 0

    Any multiple of that equation will have the same solutions.

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    posted by drwls

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