Is it possible to have different quadratic equations with the same solution? Explain.

Answer 1

If the solutions are p and q, then the equation must factor like:

A(x-p)(x-q) = 0

So, if you keep p and q the same, the quadratic can only differ in the overall factor A. But the equation is then the same, because:

A(x-p)(x-q) = 0 --->

(x-p)(x-q) = 0