SOLUTION: Solve. Select the correct choice below A) The solution is x=___ B) There is no solution x/x+8 - 8/x-8 = x^2+64/x^2-64

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. Select the correct choice below A) The solution is x=___ B) There is no solution x/x+8 - 8/x-8 = x^2+64/x^2-64      Log On


   



Question 626493: Solve. Select the correct choice below
A) The solution is x=___
B) There is no solution
x/x+8 - 8/x-8 = x^2+64/x^2-64

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Select the correct choice below
A) The solution is x=___
B) There is no solution
x/x+8 - 8/x-8 = x^2+64/x^2-64
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Multiply thru by x^2-64 which equals (x+8)(x-8), to get:
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x(x-8) - 8(x+8) = x^2+64
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x^2-8x - 8x -64 = x^2+64
---
-16x = 128
x = 8
---
But x cannot be 8 because that would
cause 2 denominators of the original
problem to be zero.
---
Conclusion: No solution
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Cheers,
Stan H.
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