We want to solve the given equation by factoring. Let's consider our equation.
81-1/25x^2=0
Notice that this equation follows a special pattern. It can be factored as a difference of squares. Let's factor the equation!
We found that the solutions to the given equation are x=- 45 and x=45. To check our answer, we will graph the related function, y=81- 15x^2, using a calculator. Since 125=0.04, we will use decimal instead of the fraction.
We can see that the x-intercepts are - 45 and 45. Therefore, our solutions are correct.
