SOLUTION: {{{ 2/x = x/(x^2-8) }}}

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Question 185758: +2%2Fx+=+x%2F%28x%5E2-8%29+
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


+2%2Fx+=+x%2F%28x%5E2-8%29+

Enclose both sides in parentheses:

+%282%2Fx%29+=+%28x%2F%28x%5E2-8%29%29+

Multiply both sides by the LCD of x%2A%28x%5E2-8%29

+x%2A%28x%5E2-8%29%282%2Fx%29+=+x%2A%28x%5E2-8%29%28x%2F%28x%5E2-8%29%29+

Then cancel:




+%28x%5E2-8%29%282%29+=+x%2A%28x%29+

+2%28x%5E2-8%29+=+x%5E2+

2x%5E2-16+=+x%5E2

x%5E2-16=0

%28x-4%29%28x%2B4%29=0

x-4=0  x%2B4=0
x=4    x=-4

Two solutions. Both check.

Edwin