Exercise 70 Page 534

To solve the given equation by factoring, we will start by identifying the values of a, b, and c. 9x^2-25=0 ⇔ 9x^2+ 0x+( - 25)=0 Notice that this equation follows a special pattern. It can be factored as a difference of squares. Let's factor the equation!

Now we are ready to use the Zero Product Property.

We found that the solutions to the given equation are x=- 53 and x= 53. To check our answer, we will graph the related function f(x)=9x^2-25 using a calculator.

We can see that the x-intercepts are - 53 and 53. Therefore, our solutions are correct.