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: 26

Answer

$x=3.61$ and $x=-3.61$

Work Step by Step

The given equation is $\Rightarrow x^2+11=24$ Subtract $11$ from each side. $\Rightarrow x^2+11-11=24-11$ Simplify. $\Rightarrow x^2=13$ Take the square root of each side. $\Rightarrow x=\pm \sqrt {13}$ Use a calculator. $\Rightarrow x=\pm 3.61$ Hence, the solutions are $x=3.61$ and $x=-3.61$.
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