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 $\frac{10}{3}$.
