Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - Chapter Review - Page 271: 49

Answer

$x=\{ -2,2 \}$

Work Step by Step

Using the properties of equality, the given equation, $ 4x^2=16 ,$ is equivalent to \begin{align*} \dfrac{4x^2}{4}&=\dfrac{16}{4} \\\\ x^2&=4 .\end{align*} Getting the square root of both sides (Square Root Property), the equation above is equivalent to \begin{align*} x&=\pm\sqrt{4} \\ x&=\pm2 .\end{align*} Hence, the solutions are $ x=\{ -2,2 \} $.
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