Answer
The answer is $x=-4/3$.
Work Step by Step
Given:
$3/(1+\sqrt5)=(1-\sqrt5)/x$
By cross multiplication,
$3*x=(1-\sqrt5)*(1+\sqrt5)$
$3x=1^{2}-\sqrt5^{2}$
$3x=1-5$.
$x=-4/3$.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 630: 39
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