Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - Chapter Review - 10-4 Solving Radical Equations - Page 643: 41


$\frac{-1+\sqrt 7}{4}\approx0.4$

Work Step by Step

Multiply both sides by the denominator of the left side. $\frac{x}{2+\sqrt 7}=\frac{3-\sqrt 7}{4}$ $x=\frac{(3-\sqrt 7)(2+\sqrt 7)}{4}=$ $\frac{6+3\sqrt 7-2\sqrt 7-7}{4}=$ $\frac{-1+\sqrt 7}{4}\approx0.4$
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