SOLUTION: Solve. x squared - 11x = -30

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Question 115004: Solve.
x squared - 11x = -30
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-11x=-30 Start with the given equation


x%5E2-11x%2B30=0 Move all of the terms to the left side


%28x-6%29%28x-5%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-5=0

x=6 or x=5 Now solve for x in each case


So our solutions are x=6 or x=5


Notice if we graph y=x%5E2-11x%2B30 we get

+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E2-11x%2B30%29+

and we can see that the graph has roots at x=6 and x=5, so this verifies our answer.