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 - Monitoring Progress - Page 499: 7

Answer

$x=+3.32$ and $x=-3.32$

Work Step by Step

The given equation is $\Rightarrow x^2+8=19$ Subtract $8$ from each side. $\Rightarrow x^2+8-8=19-8$ Simplify. $\Rightarrow x^2=11$ Take the square root of each side. $\Rightarrow x=\pm\sqrt{11}$ Use a calculator. $\Rightarrow x=\pm3.32$ Two real solutions are $\Rightarrow x=+3.32$ or $x=-3.32$ Hence, the solutions are $x=+3.32$ and $x=-3.32$.
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