SOLUTION: Find an integer that is 1 less than 56 times it's reciprocal

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Question 822192: Find an integer that is 1 less than 56 times it's reciprocal
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find an integer highlight_green%28x%29 that is 1 less than 56 times it's reciprocal

Question states***

  ++x+=+56%2Fx+-+1   |Multiplying thru by x so as all denominators = 1

   x^2 = 56 - x

  x^2 + x -56 = 0

 (x+8)(x-7) = 0   x is -8,7 

CHECKING our answer***

 -8 = 56/-8 - 1

  7 = 56/7 - 1