SOLUTION: Find the x intercepts of the graph y=x^2+5x-36 Thank you!!

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Question 946162: Find the x intercepts of the graph y=x^2+5x-36
Thank you!!

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to find the x-intercepts of the graph y=x%5E2%2B5x-36, set y=0 and solve for x
0=x%5E2%2B5x-36

x%5E2%2B5x-36=0...write 5x as 9x-4x
x%5E2%2B9x-4x-36=0....group
%28x%5E2%2B9x%29-%284x%2B36%29=0...factor
x%28x%2B9%29-4%28x%2B9%29=0
%28x-4%29%28x%2B9%29+=+0
solutions:
if %28x-4%29+=+0 then x=4
if %28x%2B9%29+=+0 then x=-9
so, the x-intercepts of the graph y=x%5E2%2B5x-36 are at (4,0) and (-9,0)
see it on a graph:
+graph%28+600%2C+600%2C+-15%2C+15%2C+-55%2C+15%2C+%28x-4%29%28x%2B9%29%29+