SOLUTION: Please help. use quadratic formula x^2+6x+13=0

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Question 878954: Please help. use quadratic formula
x^2+6x+13=0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The quadratic formula is x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

The equation x%5E2%2B6x%2B13=0 is in the form ax%5E2%2Bbx%2Bc=0 where a+=+1, b+=+6, c+=+13

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Use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%286%29%2B-sqrt%28%286%29%5E2-4%281%29%2813%29%29%29%2F%282%281%29%29 Plug in a+=+1, b+=+6, c+=+13

x+=+%28-6%2B-sqrt%2836-%2852%29%29%29%2F%282%29

x+=+%28-6%2B-sqrt%28-16%29%29%2F2

x+=+%28-6%2Bsqrt%28-16%29%29%2F2 or x+=+%28-6-sqrt%28-16%29%29%2F2

x+=+%28-6%2B4%2Ai%29%2F2 or x+=+%28-6-4%2Ai%29%2F2 Note: i+=+sqrt%28-1%29

x+=+-3%2B2i or x+=+-3-2i


Note: if you have not learned about complex or imaginary numbers yet, then your answer is simply "no real solutions"