Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 592: 9


$x=+ \dfrac{4}{5} i,- \dfrac{4}{5} i$

Work Step by Step

Given: $25x^2+16=0$ This can be written as: $25x^2=-16$ or, $x^2=-\dfrac{16}{25}$ Apply The Square Root Property. $x=\pm \sqrt{-\dfrac{16}{25}}$ or, $x=\pm \sqrt {-1} \sqrt{\dfrac{16}{25}}$ Since, $\sqrt {-1}=i$ Thus, $x=\pm \dfrac{4}{5}i$ Hence, $x=+ \dfrac{4}{5} i,- \dfrac{4}{5} i$
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