Suppose r and s are the solutions of x^2 − 12x + 22 = 0. Find r 2 + s 2
using vieta's formulas, \(r+s=12\) and \(rs=22\). Squaring \(r+s\) and subracting \(2rs\), we get that \(r^2+s^2=100\)
+49 
