SOLUTION: 6x^2-13x-63=0

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Question 115712This question is from textbook
: 6x^2-13x-63=0 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6x%5E2-13x-63=0 Start with the given equation

%282x-9%29%283x%2B7%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
2x-9=0 or 3x%2B7=0

x=9%2F2 or x=-7%2F3 Now solve for x in each case


So our answer is
x=9%2F2 or x=-7%2F3


Notice if we graph y=6x%5E2-13x-63 we can see that the roots are x=9%2F2 and x=-7%2F3 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+6x%5E2-13x-63%29+