Hi,

So here's my problem:

If the equation ax^2 + bx + c = 0 has roots alpha and beta, find the roots of the equation:

ax^2 - bx(x-1) + c(x-1)^2 = 0

What I did:

I managed to simplify the given equation to:

x^2(a-b+c) + x(b - 2c) + c = 0

And now I don't know how to proceed.

A slight push in the right direction would help.

Cheers.