SOLUTION: The sum of the solutions of the equation (3x+2/x-2)+(1/x-1)=-1/x^2-3x+2

Algebra ->  Functions -> SOLUTION: The sum of the solutions of the equation (3x+2/x-2)+(1/x-1)=-1/x^2-3x+2       Log On


   

Question 1006093: The sum of the solutions of the equation (3x+2/x-2)+(1/x-1)=-1/x^2-3x+2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B2%29%2F%28x-2%29%2B1%2F%28x-1%29=-1%2F%28x%5E2-3x%2B2%29


%283x%5E2-x-2%2Bx-2%29%2F%28%28x-2%29%28x-1%29%29=-1%2F%28%28x-2%29%28x-1%29%29
%283x%5E2-4%29%2F%28%28x-2%29%28x-1%29%29=-1%2F%28%28x-2%29%28x-1%29%29
Which leads to,
3x%5E2-4=-1
3x%5E2-3=0
3%28x%5E2-1%29=0
%28x-1%29%28x%2B1%29=0
Two solutions,
x-1=0
x=1
However since x-1 and x-2 are in the original equation, x=1 and x=2 are not allowed solutions since they would lead to a division by zero.
x%2B1=0
x=-1
This is the only solution.