# Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 22

$x=\{ -18,6 \}$

#### Work Step by Step

Taking the square root of both sides (the Square Root Property), the solutions to the given equation, $(x+6)^2=144 ,$ are \begin{array}{l}\require{cancel} (x+6)=\pm\sqrt{144} \\\\ x+6=\pm\sqrt{(12)^2} \\\\ x+6=\pm12 \\\\ x=-6\pm12 .\end{array} Hence, $x=\{ -18,6 \} .$

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