SOLUTION: (2x/x^2-4)= (4/x^2-4) - (3/x+2) Hi, my name is Grace and I need help solving this linear equation. I've tried to subtract the right side but I got confused. your help would b

Algebra ->  Linear-equations -> SOLUTION: (2x/x^2-4)= (4/x^2-4) - (3/x+2) Hi, my name is Grace and I need help solving this linear equation. I've tried to subtract the right side but I got confused. your help would b      Log On


   

Question 836178: (2x/x^2-4)= (4/x^2-4) - (3/x+2)
Hi, my name is Grace and I need help solving this linear equation. I've tried to subtract the right side but I got confused. your help would be appreciated!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It's not a linear equation, it's a rational equation (the ratio of two polynomials)
%282x%29%2F%28x%5E2-4%29=+%284%29%2F%28x%5E2-4%29+-+%283%29%2F%28x%2B2%29
Get a common denominator for all terms,
x%5E2-4=%28x%2B2%29%28x-2%29


%282x%29%2F%28%28x%2B2%29%28x-2%29%29=+%284-+3x%2B6%29%2F%28%28x%2B2%29%28x-2%29%29
%282x%29%2F%28%28x%2B2%29%28x-2%29%29=+%2810-+3x%29%2F%28%28x%2B2%29%28x-2%29%29
The numerators have to equal each other.
2x=10-3x
5x=10
x=2
However this value make the denominators of the first and second term equal to zero so it cannot be a solution.
There are no solutions to this equation.