SOLUTION: Solve the equation: x^2-36=0

Algebra ->  Functions -> SOLUTION: Solve the equation: x^2-36=0      Log On


   

Question 96848: Solve the equation: x^2-36=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-36=0

%28x-6%29%28x%2B6%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

x-6=0 or x%2B6=0

x=6 or x=-6 Now solve for x in each case


So our solutions are x=6 or x=-6


Notice if we graph y=x%5E2-36 we get

+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E2-36%29+

and we can see that the graph has roots at x=6 and x=-6, so this verifies our answer.