Find x: x^2 - 36^2 = 85*157

Answer 1

The original equation can be transferrred along below steps:

             x^2 - 36^2 = 85 * 157

x^2 - 36^2 = 85 * 157 = 85*(85 + 72) = 85*(85+2*36) = 85^2 + 2*85*36

Hence,  now moving 36^2 to the other side of the equation we have 

x^2 = 85^2 + 2*85*36 + 36^2 = (85+36)^2 = 121^2

x = 121, or -121