SOLUTION: Reduce the rational equation to quadratic equation and find its roots. 2x/x-1 + 19/1-x² = x+3/x+1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Reduce the rational equation to quadratic equation and find its roots. 2x/x-1 + 19/1-x² = x+3/x+1      Log On


   

Question 371249: Reduce the rational equation to quadratic equation and find its roots.
2x/x-1 + 19/1-x² = x+3/x+1
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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%2819%2F%281-x%5E2%29%29=+%28%28-x%5E2-3%29%29%2F%28%28x%2B1%29%28x-1%29%29
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%2819%2F%281-x%5E2%29%29=+%28-1%283-x%5E2%29%29%2F%28%28-1%281-x%5E2%29%29%29
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-1 & (1-x^2) in the denominator on RHS & LHS cancel off
19=3-x^2
x^2=19-3
x^2=16
x=4
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m.ananth@hotmail.ca