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.