+1689 Wilma and Greg were trying to solve the quadratic equation
x^2 + bx + c = 0.
Wilma wrote down the wrong value of $b$ (but her value of $c$ was correct), and found the roots to be $-5$ and $5.$ Greg wrote down the wrong value of $c$ (but his value of $b$ was correct), and found the roots to be $1$ and $-2.$ What are the actual roots of $x^2 + bx + c = 0$?
