I was asked last night about performing maths with quadratic equations and I could show how to solve most problems but there was one that has left me completely baffled. After about 45 minutes last night I had to give up. (Probably missed something obvious and was making life way to complex for myself.)
Given the following quadratic equation:
4x.x - 35x + q = 0
what is the value of q. One is also told the raltionship between two values of x which solve the equation. Call those solution n and m then n = m squared (n = m.m).
I can use formulae from vieta to obtain things like m + n = 35/4 and m.n = q/4 and the formula for solving the quadratic but I then just get a horrendous mess with quadratic or higher equations when trying to simplify things.
Can someone point me in the right direction please.