Algebra 2 Common Core

Published by Prentice Hall

Chapter 14 - Trigonometric Identities and Equations - Get Ready! - Page 901: 1

Answer

$x = \dfrac{5}{2}$ or $x=-\dfrac{5}{2}$

Work Step by Step

When taking a square root of a number, there is always a positive root and a negative root. Divide $4$ to both sides: $x^2 = \dfrac{25}{4}$ Take the square root of both sides: $x = \pm \sqrt{\frac{25}{4}}$ The square roots of 25 are $5$ and $-5$, the square roots of 4 are $2$ and $-2$, Therefore $x = \pm \dfrac{5}{2}$

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