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 8.2 - The Quadratic Formula - Exercise Set - Page 608: 33


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

Work Step by Step

Re-write the given equation as: $x^2-2x-1=0$ Factorize the expression with the help of quadratic formula. Quadratic formula suggests that $x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$ This implies that $x=\dfrac{-(-2) \pm \sqrt{(-2)^2-4(1)(-1)}}{2(1)}$ or, $x=\dfrac{2 \pm 2\sqrt 2}{2}$ or, $x=\dfrac{2 (1\pm \sqrt 2)}{2}$ or, $x=1 -\sqrt 2,1 +\sqrt 2$ Hence, our solution set is: {$1 -\sqrt 2,1 +\sqrt 2$}
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