Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.2 - Completing the Square - Problem Set 10.2: 46

Answer

The answer is below.

Work Step by Step

We use the quadratic formula, which states that the solution for an equation in the form $ax^2 +bx +c =0 $ is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Using this, we obtain: a) $x = \frac{6 \pm \sqrt{(-6)^2 - 4(1)(-4)}}{2} = -.6, 6.6 $ b) $x = \frac{8 \pm \sqrt{8^2 - 4(4)(1)}}{2} = .5, 7.5$ c) $x = \frac{-4 \pm \sqrt{4^2 - 4(1)(-4)}}{2} = -4.8, .8$ d) $x = \frac{-2 \pm \sqrt{2^2 - 4(1)(-5)}}{2}=1.4, -3.4 $ e) $x = \frac{14 \pm \sqrt{(-14)^2 - 4(1)(-2)}}{2} = -.1, 14.1$ f) $x = \frac{-12 \pm \sqrt{12^2 - 4(1)(-1)}}{2} = -12.1, .1$
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