Exercise 82 Page 534

To solve the given equation by factoring, we will start by identifying the values of a, b, and c. 4y^2=64 ⇔ 4y^2+ 0y+( - 64)=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 y=- 4 and y=4. To check our answer, we will graph the related function f(y)=4y^2-64 using a calculator. Note that in the calculator we will use the variable x instead of y.

We can see that the x-intercepts are - 4 and 4. Therefore, our solutions are correct.