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: 14

Answer

$x=0$

Work Step by Step

The given equation is $\Rightarrow -x^2+9=9$ Subtract $9$ from each side. $\Rightarrow -x^2+9-9=9-9$ Simplify. $\Rightarrow -x^2=0$ Multiply each side by $-1$. $\Rightarrow -1(-x^2)=-1(0)$ 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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