Answer
The solution is $a=-6$.
Work Step by Step
$\sqrt -5a+6=-a$
Square both sides:
$-5a+6=a^2$
$a^2+5a-6=0$
$a-1=0$ or $a+6=0$
$a=1$ or $a=-6$
Check:
$\sqrt -5(1)+6=-1$
$1=- 1$
$\sqrt -5(-6)+6=-(-6)$
$6=6$
The solution is $a=-6$.
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 - Chapter Test - Page 657: 21
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