SOLUTION: x - 1/x = 3/2

Algebra ->  Equations -> SOLUTION: x - 1/x = 3/2      Log On


   

Question 894272: x - 1/x = 3/2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure if you mean exactly as written, but LCD is 2x...

2x%28x-1%2Fx%29=%283%2F2%29%2A2x
2x%5E2-2=3x
2x%5E2-3x-2=0

According to general solution,
x=%283%2B-+sqrt%289%2B4%2A2%2A2%29%29%2F%282%2A2%29
x=%283%2B-+sqrt%2825%29%29%2F4
x=%283%2B-+5%29%2F4
highlight%28x=-1%2F2%29 or highlight%28x=2%29