Question

What are the solutions to the equation (x−32)2=56?

x=±2√22
x=32±2√ 14
x=4√5±2√14
x=±2√6

Answer 1

`\bold{ x=32\pm2√(14)}`

Explanation:

`(x-32)^2=56\\\\x-32=\pm√(56)\\\\x=32\pm√(4\cdot14)\\\\ x=32\pm2√(14)`