# Negative roots

Author: mathforces
Problem has been solved: 22 times

Русский язык | English Language

Let $a$ be some real number. Consider the equation $x^2 - x (a + 7) + a = -87$, which has two negative roots when $m < a < n$, for some real $m$ and $n$. What is the value of $m^2 + n^2$?