College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.3: 79

Answer

$x = -2 \frac{+}{} \sqrt{5}$

Work Step by Step

Since this is a quadratic equation, we can solve it by using the Quadratic Formula, since it cannot be factorized in a simple manner: $$x = \frac{-b \frac{+}{} \sqrt{b^2 - 4ac}}{2a}$$ $$x= \frac{-4 \frac{+}{} \sqrt{4^2 - 4(1)(-1)}}{2(1)}$$ $$x = \frac{-4 \frac{+}{} \sqrt{20}}{2}$$ $$x = \frac{-4 \frac{+}{} 2\sqrt{5}}{2}$$ $$x = -2 \frac{+}{} \sqrt{5}$$
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