SOLUTION: 2/x-2-3/x+2=1/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 2/x-2-3/x+2=1/2      Log On


   

Question 1022059: 2/x-2-3/x+2=1/2
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Fx-2-3%2Fx%2B2=1%2F2
That's probably not what you meant.
Use parentheses, they're free.
---
2/(x-2) - 3/(x+2) = 1/2
Multiply thru by (x-2), then by (x+2).
Solve the quadratic.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

%284%28x%2B2%29-6%28x-2%29%29%2F%28x%5E2-4%29=%28x%5E2-4%29%2F%28x%5E2-4%29
So then isolating the numerator,
4x%2B8-6x%2B12=x%5E2-4
-2x%2B20=x%5E2-4
x%5E2%2B2x-24=0
%28x%2B6%29%28x-4%29=0
Two solutions:
x%2B6=0
x=-6
and
x-4=0
x=4
.
.
.
Graphical verification
.
.
.
.