Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.3 - Solving Quadratic Equations Using Square Roots - Exercises - Page 501: 15

Answer

$x=0$

Work Step by Step

The given equation is $\Rightarrow -3x^2-5=-5$ Add $5$ to each side. $\Rightarrow -3x^2-5+5=-5+5$ Simplify. $\Rightarrow -3x^2=0$ Divide each side by $-3$. $\Rightarrow \frac{-3x^2}{-3}=\frac{0}{-3}$ Simplify. $\Rightarrow x^2=0$ Take the square root of each side. $\Rightarrow x=\pm\sqrt {0}$ Simplify. $\Rightarrow x=0$ Hence, the solution is $x=0$.
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