SOLUTION: 1/(x-1)- 1/(x+2)= 1/2 I've been trying to figure this problem out for a while now. Help please!

Question 37223: 1/(x-1)- 1/(x+2)= 1/2
I've been trying to figure this problem out for a while now. Help please!
Answer by jcmtnez(53) (Show Source): You can put this solution on YOUR website!
To eliminate the denominator you have to multiply all the expression by (x-1)(x-2)(2).
1(x-1)(x-2)(2)/(x-1)-1(x-1)(x-2)(2)/(x+2)=1(x-1)(x-2)(2)/2
Reducing common factors we get:
2(x-2)-2(x-1)=(x-1)(x-2)

Now we have to expand and reduce.

2x-4-2x+2=x^2-2x-x+2 Expanding
0=x^2-2x-x+2x-2x+4-2 Reducing
0=x^2-3x+2 Final equation
Know we have to solve this problem, you can use the general formula.

You will get as solutions x=1,x=2

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