Algebra and Trigonometry 10th Edition

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

Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 129: 88

Answer

$x^2-\sqrt{7}x-14=0$

Work Step by Step

$x=2\sqrt{7}$ and $x=-\sqrt{7}$ $x-2\sqrt{7}=0$ and $x+\sqrt{7}=0$ $(x-2\sqrt{7})(x+\sqrt{7})=0$ Therefore, multiplying the factors: $x^2+\sqrt{7}x-2\sqrt{7}x-14=0$ $x^2-\sqrt{7}x-14=0$
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