College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 58


$\left\{-10\sqrt{10}, 10\sqrt{10}\right\}$

Work Step by Step

Take the square root of both sides to obtain: $x = \pm \sqrt{1000}$ Factor $1000$ so that one factor is a perfect square: $x=\pm \sqrt{100(10)} \\x=\pm \sqrt{10^2(10)} \\x=\pm10\sqrt{10}$ Thus, the solution set of the given equation is $\left\{-10\sqrt{10}, 10\sqrt{10}\right\}$.
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