## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 11 Data Analysis and Statistics - 11.3 Use Normal Distributions - 11.3 Exercises - Mixed Review - Page 762: 53

7

#### Work Step by Step

Solving the equation for x, we find: $$\left(\sqrt{x-3}\right)^2=\left(x-5\right)^2 \\ x-3=x^2-10x+25 \\ x=7,\:x=4$$ Plugging this back in, we find that 7 satisfies the equation but $x=4$ does not.

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