College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.4 - Radical Equations; Equations Quadratic in Form; Factorable Equations - 1.4 Assess Your Understanding: 45

Answer

$x=\pm 1$

Work Step by Step

We solve by factoring: $3x^{4}-2x^{2}-1=0$ $(3x^{2}+1)(x^{2}-1)=0$ $3x^{2}+1=0$ or $x^{2}-1=0$ $3x^{2}=-1$ or $x^{2}=1$ $x^2=\frac{-1}{3}$ or $x=\pm\sqrt{1}$ $x=\pm \sqrt{\frac{-1}{3}}$=not real or $x=\pm 1$ $x=\pm 1$ We ignore the unreal solution.
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