Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 79

Answer

$$x=1+\sqrt{2},\:x=1-\sqrt{2}$$

Work Step by Step

Solving the equation, we find: $$ x^2-2x-1=0 \\ x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\left(-1\right)}}{2\cdot \:1} \\ x=1+\sqrt{2},\:x=1-\sqrt{2}$$
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