Question 569266
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


*[tex \LARGE (x-p)(x-q) = x^2 - (p+q)x + pq]


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


*[tex \LARGE C(x^2 - (p+q)x + pq)]


where C is any constant not equal to 0.