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: 69


The equation has no real number solution.

Work Step by Step

Subtract 64 on both sides of the equation to obtain: $x^4=-64$ Note that for any real number $x$, and even integer $n$, $x^n \ge 0$. Thus, the given equation has no real number solution since the exponent of $x$ is even and the right side of the equation is negative.
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