SOLUTION: How can I solve for x using the quadratic formula. 2x=(x+1)/(x-1) Thank you very much

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: How can I solve for x using the quadratic formula. 2x=(x+1)/(x-1) Thank you very much      Log On


   

Question 678431: How can I solve for x using the quadratic formula.
2x=(x+1)/(x-1)
Thank you very much
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
2x = %28x%2B1%29%2F%28x-1%29
...
x = %28%28x%2B1%29%2F%28x-1%29%29%2F2
...
x = %28%28x%2B1%29%2F%28x-1%29%29%281%2F2%29
...
x = %28x%2B1%29%2F%282%28x-1%29%29
...
x = %28x%2B1%29%2F%282x-2%29
...
Cross multiplty
x(2x-2) = x+1
2x%5E2+-+2x+=+x%2B1
2x%5E2+-+2x+-+x+-+1+=+0
2x%5E2+-+3x+-+1+=+0
Applying Quadratic
x = %28-%28-3%29+%2B-+sqrt%28-3%5E2+-+4%282%29%28-1%29%29%29%2F%282%2A2%29
x = %283+%2B-+sqrt%289%2B8%29%29%2F4
x = %283%2B-sqrt%2817%29%29%2F4
...
highlight_green%28x=%283-sqrt%2817%29%29%2F4%29 = -.2807764...
AND
highlight_green%28x=%283%2Bsqrt%2817%29%29%2F4%29 = 1.7807764...
.....................
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