Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 154: 81


Solutions: $x=0$ and $x=\frac{12}{5}$

Work Step by Step

$5x^4-12x^3=0$ $x^3(5x-12)=0$ $x^3=0$ $x=0$ or $5x-12=0$ $5x=12$ $x=\frac{12}{5}$ Testing: - $x=0$: $5(0)^4-12(0)^3=0-0=0$ - $x=\frac{12}{5}$: $5(\frac{12}{5})^4-12(\frac{12}{5})^3=5\frac{12^4}{5^4}=12\frac{12^3}{5^3}=\frac{12^4}{5^3}-\frac{12^4}{5^3}=0$
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