Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.5 Graph Square Root and Cube Root Functions - 6.5 Exercises - Mixed Review - Page 451: 44

Answer

$$x=7+2\sqrt{3},\:x=7-2\sqrt{3}$$

Work Step by Step

Solving the equation by isolating $x$ with the quadratic formula, we find: $$x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:37}}{2\cdot \:1} \\ x=7+2\sqrt{3},\:x=7-2\sqrt{3}$$
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