SOLUTION: Solve x^2+6x+9=49 a.4,-4 b.10,-4 c.4, -10 d.10,-10

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Question 119194: Solve
x^2+6x+9=49
a.4,-4
b.10,-4
c.4, -10
d.10,-10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B6x%2B9=49 Start with the given equation


x%5E2%2B6x%2B9-49=0 Subtract 49 from both sides.


x%5E2%2B6x-40=0 Combine like terms


%28x%2B10%29%28x-4%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%2B10=0 or x-4=0

x=-10 or x=4 Now solve for x in each case


So our answer is
x=-10 or x=4


Notice if we graph y=x%5E2%2B6x-40 we can see that the roots are x=-10 and x=4 . So this visually verifies our answer.


+graph%28500%2C500%2C-12%2C10%2C-10%2C10%2C0%2C+x%5E2%2B6x-40%29+


So the answer is C)