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: 45

Answer

$$x=20+\sqrt{17},\:x=20-\sqrt{17}$$

Work Step by Step

Solving the equation by isolating $x$ with the quadratic formula, we find: $$x_{1,\:2}=\frac{-\left(-40\right)\pm \sqrt{\left(-40\right)^2-4\cdot \:1\cdot \:383}}{2\cdot \:1} \\ x=20+\sqrt{17},\:x=20-\sqrt{17}$$
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