SOLUTION: Solve. x(squared)-14x+49=64

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Question 638926: Solve. x(squared)-14x+49=64
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-14x%2B49=64

x%5E2-14x%2B49-64=0

x%5E2-14x-15=0

Now use the quadratic formula to solve for x

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

x+=+%28-%28-14%29%2B-sqrt%28%28-14%29%5E2-4%281%29%28-15%29%29%29%2F%282%281%29%29

x+=+%2814%2B-sqrt%28196-%28-60%29%29%29%2F%282%29

x+=+%2814%2B-sqrt%28256%29%29%2F2

x+=+%2814%2Bsqrt%28256%29%29%2F2 or x+=+%2814-sqrt%28256%29%29%2F2

x+=+%2814%2B16%29%2F2 or x+=+%2814-16%29%2F2

x+=+30%2F2 or x+=+-2%2F2

x+=+15 or x+=+-1

So the solutions are x+=+15 or x+=+-1