SOLUTION: Solve {{{t^2-5t-36=0}}}

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Question 132015: Solve t%5E2-5t-36=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

t%5E2-5t-36=0 Start with the given equation

%28t-9%29%28t%2B4%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
t-9=0 or t%2B4=0

t=9 or t=-4 Now solve for t in each case


So our answer is
t=9 or t=-4


Notice if we graph y=x%5E2-5x-36 (just replace t with x) we can see that the roots are x=9 and x=-4 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-5x-36%29+