## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 40

#### Answer

x=-$\frac{10}{3}$ or $\frac{10}{3}$

#### Work Step by Step

Factor the binomial using the formula for factoring a difference of squares. 9x$^2$-100=0 (3x+10)(3x-10)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 3x+10=0 or 3x-10=0 3x=-10 or 3x=10 x=-$\frac{10}{3}$ or x=$\frac{10}{3}$ Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{10}{3}$ and $\frac{10}{3}$.

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