SOLUTION: Can you show me the step by step solution to this problem? 720/x + 720/x-4 = 2

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Question 388018: Can you show me the step by step solution to this problem?
720/x + 720/x-4 = 2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

solving

720/x + 720/x-4 = 2  Multiplying each term by x(x-4) so as all denominators = 1

 720(x-4) + 720x = 2x(x-4)

 720x - 4*720 = 2x^2 - 8x

 2x^2 -728x + 4*720 = 0

  x^2 - 364x + 1440 = 0

factoring (or using Quadratic Equation to solve for x)

(x -4)(x-360) = 0 Note:SUM of the inner product(-4x) and the outer product(-36x) = -364x

 (x -4)=0

     x = 4

(x-360) = 0

     x = 360

OR

x+=+%28364+%2B-+sqrt%28+126736%29%29%2F%282%29+

x+=+%28364+%2B-+356%29%2F%282%29+

   x = 8/2 = 4

   x = 720/2 = 360