Answer
$x=-3$
Work Step by Step
$\sqrt{1-x}-3=x+2\\\sqrt{1-x}=x+5\\1-x=x^2+10x+25\\x^2+11x+24=0\\(x+3)(x+8)=0$
So $x=-3$ or $x=-8$ (but this is extraneous), so $x=-3$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.4 - Radical Equations; Equations Quadratic in Form; Factorable Equations - 1.4 Assess Your Understanding - Page 117: 28
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