SOLUTION: x^2-5x-1=-7

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Question 128743: x^2-5x-1=-7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-5x-1=-7 Start with the given equation


x%5E2-5x-1%2B7=0 Add 7 to both sides.


x%5E2-5x%2B6=0 Combine like terms


%28x-3%29%28x-2%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-3=0 or x-2=0

x=3 or x=2 Now solve for x in each case


So our answer is
x=3 or x=2


Notice if we graph y=x%5E2-5x%2B6 we can see that the roots are x=3 and x=2 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-5x%2B6%29+