Solving rational expressions

[tertie]

Hello,

Please help, I need to solve for x

x / x-2 - x+1 / x= 8/x^2-2x

I am so lost on this problem. From what I read I need to find the least common denominator (which I get x(x-2)) and cancel out the fraction.

for the first I get x^2 (denominator is canceled out)
for the second set I get x^2-x-2
and third set I get 8

which gives me x=-11
is this right? am I multiplying wrong?

 

[rzornick]

It looks like you probably made an arithmatic error somewhere. Once you find the least common denominator which you did correctly and cancel out the fraction (which you also did correctly) you were left with:

x^2 - (x^2 - x-2)=8

x^2-x^2+x+2=8 (distributing the minus sign)

x+2=8

x=6

It looks like you got the hard part okay but probably made a silly little error.

 

[tertie]

thank you!