Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.6 - Radical Equations and Problem Solving - Exercise Set - Page 455: 68

Answer

$144$

Work Step by Step

Substituting $ S=15 $ in the given equation, $ S=2\sqrt{I}-9 ,$ results to \begin{array}{l}\require{cancel} 15=2\sqrt{I}-9 \\ 15+9=2\sqrt{I} \\ 24=2\sqrt{I} \\ \dfrac{24}{2}=\sqrt{I} \\ 12=\sqrt{I} .\end{array} Squaring both sides, the equation above is equivalent to \begin{array}{l}\require{cancel} (12)^2=\left( \sqrt{I} \right)^2 \\ 144=I .\end{array} Hence, the IQ score, $I,$ is $ 144 .$
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