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: 25

Answer

$x=2.65$ and $x=-2.65$

Work Step by Step

The given equation is $\Rightarrow x^2+6=13$ Subtract $6$ from each side. $\Rightarrow x^2+6-6=13-6$ Simplify. $\Rightarrow x^2=7$ Take the square root of each side. $\Rightarrow x=\pm \sqrt {7}$ Use a calculator. $\Rightarrow x=\pm 2.65$ Hence, the solutions are $x=2.65$ and $x=-2.65$.
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