SOLUTION: How do you solve this quadratic equation? {{{x^2-2x+13=0}}}

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Question 311179: How do you solve this quadratic equation?
x%5E2-2x%2B13=0
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

The equation ax%5E2%2Bbx%2Bc=0 has solution

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

For the problem:

x%5E2-2x%2B13=0

a=1, b=-2, c=13



x+=+%282+%2B-+sqrt%28+4-52+%29%29%2F2+

x+=+%282+%2B-+sqrt%28-48%29%29%2F2+

x+=+%282+%2B-+sqrt%28-1%2A48%29%29%2F2+ 

x+=+%282+%2B-+sqrt%28-1%29sqrt%2848%29%29%2F2+ 

x+=+%282+%2B-+i%2Asqrt%2816%2A3%29%29%2F2+

x+=+%282+%2B-+i%2Asqrt%2816%29sqrt%283%29%29%2F2+

x+=+%282+%2B-+i%2A4sqrt%283%29%29%2F2+

x+=+%282+%2B-+4i%2Asqrt%283%29%29%2F2+

x+=+%282%281+%2B-+2i%2Asqrt%283%29%29%29%2F2+

x+=+%28cross%282%29%281+%2B-+2i%2Asqrt%283%29%29%29%2Fcross%282%29+

x+=+1+%2B-+2i%2Asqrt%283%29+

Edwin