Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - Chapter Test - Page 657: 20


The solution is $x=1$.

Work Step by Step

$\sqrt 2-x=x$ Square both sides: $2-x=x^2$ $x^2+x-2=0$ $x-1=0$ or $x+2=0$ $x=1$ or $x=-2$ Check: $\sqrt 2-1=x$ $1=\sqrt 1$ $\sqrt 2-(-2)=-2$ $2=-2$ The solution is $x=1$.
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