Algebra and Trigonometry 10th Edition

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

Chapter 1 - 1.4 - Quadratic Equations and Applications - 1.4 Exercises - Page 110: 38

Answer

{$\frac{1-\sqrt 2}{2}, \frac{1+\sqrt 2}{2}$}

Work Step by Step

$4x^2-4x=1$ $4x^2-4x+1=2$ $(2x-1)^2=2$ 2x-1=$+\sqrt 2 or -\sqrt 2$ 2x=$1+\sqrt 2 or 1-\sqrt 2$ x={$\frac{1-\sqrt 2}{2}, \frac{1+\sqrt 2}{2}$}
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