How do you solve 10(x-7)^2=440?

Mar 2, 2018

$x = 7 - 2 \sqrt{11} , 7 + 2 \sqrt{11}$

Explanation:

Divide both sides by 10:

${\left(x - 7\right)}^{2} = 44$

Take the square root of both sides

$x - 7 = \pm \sqrt{44}$

$x = 7 \pm \sqrt{44}$
You can simplify the square root. A perfect square of $4$ goes in there, so
$x = 7 \pm 2 \sqrt{11}$
Answer = $7 - 2 \sqrt{11} , 7 + 2 \sqrt{11}$