College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 72


The equation has no real number solution.

Work Step by Step

Subtract 16 to both sides to obtain: $(x+1)^4=-16$ Note that for any real number $b$, $b^4 \ge 0$. Since the exponent is $4$ and right side of the equation is negative , then the given equation has no real number solution.
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