SOLUTION: 1/x-2=2/x+4+2x-1/x^2+2x-8 this is a rational equation!! please help me solve!

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: 1/x-2=2/x+4+2x-1/x^2+2x-8 this is a rational equation!! please help me solve!       Log On

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Question 381381: 1/x-2=2/x+4+2x-1/x^2+2x-8 this is a rational equation!! please help me solve!

Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-2%29=%282%2F%28x%2B4%29%29%2B%282x-1%29%2F%28x%5E2%2B2x-8%29
...
%282%2F%28x%2B4%29%29%2B%28%282x-1%29%2F%28x%5E2%2B2x-8%29%29-1%2F%28x-2%29=0
...
%282%2F%28x%2B4%29%29%2B%28%282x-1%29%2F%28%28x%2B4%29%28x-2%29%29%29-1%2F%28x-2%29=0
...
LCD = (x+4)(x-2)
multiply by the LCD
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2(x-2)+(2x-1)-(x+4)=0
2x-4+2x-1-x-4=0
3x-9=0
3(x-9)=0
x-9=0
x=9
...
m.ananth@hotmail.ca