SOLUTION: 6 = x^2 - x solution set for the following equation

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Question 596273: 6 = x^2 - x
solution set for the following equation

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6+=+x%5E2+-+x

0+=+x%5E2+-+x-6

x%5E2+-+x-6+=+0

Now use the quadratic formula.

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

x+=+%28-%28-1%29%2B-sqrt%28%28-1%29%5E2-4%281%29%28-6%29%29%29%2F%282%281%29%29

x+=+%281%2B-sqrt%281-%28-24%29%29%29%2F%282%29

x+=+%281%2B-sqrt%2825%29%29%2F2

x+=+%281%2Bsqrt%2825%29%29%2F2 or x+=+%281-sqrt%2825%29%29%2F2

x+=+%281%2B5%29%2F2 or x+=+%281-5%29%2F2

x+=+6%2F2 or x+=+-4%2F2

x+=+3 or x+=+-2


So the solutions are x+=+3 or x+=+-2