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: 10



Work Step by Step

iven: $4x^2+49=0$ This can be written as: $4x^2=-49$ or, $x^2=-\dfrac{-49}{4}$ Apply The Square Root Property. $x=\pm \sqrt{-\dfrac{49}{4}}$ or, $x=\pm\sqrt{-1} \sqrt{\dfrac{49}{4}}$ Since, $\sqrt {-1}=i$ Thus, $x=\pm \dfrac{7}{2}i$ Hence, $x=+\dfrac{7}{2}i,-\dfrac{7}{2}i$
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