## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 6 Rational Exponents and Radical Functions - 6.5 Graph Square Root and Cube Root Functions - 6.5 Exercises - Mixed Review - Page 451: 42

#### Answer

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

#### Work Step by Step

Solving the equation by isolating $x$, we find: $$9\left(x-3\right)^2=108 \\ \left(x-3\right)^2=12 \\ x=2\sqrt{3}+3,\:x=-2\sqrt{3}+3$$

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