1961 AMC 12 Question 29
AMC12 · 1961 AMC 12
Let the roots of $ax^2+bx+c=0$ be $r$ and $s.$ The equation with roots $ar+b$ and $as+b$ is:
$x^2-bx-ac=0$
$x^2-bx+ac=0$
$x^2+3bx+ca+2b^2=0$
$x^2+3bx-ca+2b^2=0$
$\begin{gathered}x^2+bx(2-a)\\{}+a^2c+b^2(a+1)=0\end{gathered}$