SOLUTION: x^2+8x=6

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Question 666500: x^2+8x=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B8x=6

x%5E2%2B8x-6=0

Use the quadratic formula to solve for x

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

x+=+%28-%288%29%2B-sqrt%28%288%29%5E2-4%281%29%28-6%29%29%29%2F%282%281%29%29

x+=+%28-8%2B-sqrt%2864-%28-24%29%29%29%2F%282%29

x+=+%28-8%2B-sqrt%2864%2B24%29%29%2F%282%29

x+=+%28-8%2B-sqrt%2888%29%29%2F2

x+=+%28-8%2Bsqrt%2888%29%29%2F2 or x+=+%28-8-sqrt%2888%29%29%2F2

x+=+%28-8%2B2%2Asqrt%2822%29%29%2F2 or x+=+%28-8-2%2Asqrt%2822%29%29%2F2

x+=+-4%2Bsqrt%2822%29 or x+=+-4-sqrt%2822%29

So the exact solutions are x+=+-4%2Bsqrt%2822%29 or x+=+-4-sqrt%2822%29