# Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - 4.5 Exercises - Skill Practice - Page 270: 27

The solutions are $\sqrt{71}$and $-\sqrt{71}.$

#### Work Step by Step

$-3w^{2}=-213\qquad$ ...divide each side with $-3$ $w^{2}=71\qquad$ ...take square roots of each side. $\sqrt{w^{2}}=\sqrt{71}\qquad$ ...simplify ...When solving an equation of the form $x^{2}=s$ where $s>0$, we find both the positive and negative solutions. $w=\pm\sqrt{71}\qquad$ ...we cannot simplify any further.

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