SOLUTION: Solve: {{{w^2+3w-54=0}}}

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Question 131904: Solve: w%5E2%2B3w-54=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

w%5E2%2B3w-54=0 Start with the given equation

%28w%2B9%29%28w-6%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
w%2B9=0 or w-6=0

w=-9 or w=6 Now solve for w in each case


So our answer is
w=-9 or w=6


Notice if we graph y=x%5E2%2B3x-54 (just replace w with x) we can see that the roots are x=-9 and x=6 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2%2B3x-54%29+