SOLUTION: solve 40/y=14-y

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Question 595177: solve 40/y=14-y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, get the equation into standard form

40%2Fy=14-y

40=y%2814-y%29

40=14y-y%5E2

40-14y%2By%5E2=0

y%5E2-14y%2B40=0

Now use the quadratic formula to solve

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

y+=+%28-%28-14%29%2B-sqrt%28%28-14%29%5E2-4%281%29%2840%29%29%29%2F%282%281%29%29

y+=+%2814%2B-sqrt%28196-%28160%29%29%29%2F%282%29

y+=+%2814%2B-sqrt%2836%29%29%2F2

y+=+%2814%2Bsqrt%2836%29%29%2F2 or y+=+%2814-sqrt%2836%29%29%2F2

y+=+%2814%2B6%29%2F2 or y+=+%2814-6%29%2F2

y+=+20%2F2 or y+=+8%2F2

y+=+10 or y+=+4


So the solutions are y+=+10 or y+=+4