Posted by **jas20** on Wednesday, March 7, 2007 at 8:34pm.

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

I keep getting x = 6

can someone show me how you guys are getting x = -10

The lowest commond denominator is x(x-2)

x/x *(x)/(x-2) - (x+1)/(x) *(x-2)/(x-2)=(8)/x(x-2)

multiplying both sides by the common denominator..

x^2 -(x^2-1x -2)=8

x+2=8

x=6

check

6/4 - 7/6=8/24

36/24 - 28/24=

8/24=8/24

it checks.

OK, here's how I would go about this problem:

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

(x)/(x-2) - (x+1)/(x) = (8)/x(x-2) -->factoring the denominator (x^2-2x).

Common denominator is: x(x-2)

Multiply every term by the common denominator to get rid of the fractions and make the equation easier to solve.

x(x-2) [(x)/(x-2) - (x+1)/(x) = (8)/x(x-2)]

x^2 - (x+1)(x-2) = 8

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

x^2 - x^2 + x + 2 = 8

x + 2 = 8

x = 6

Substitute 6 for x in the original equation. It always helps to check your work!

I hope this is clear and will help.

you get the same answer as i do but others are saying here someone named annonimous that they keep getting -10.

## Answer This Question

## Related Questions

- Probability - A card is drawn from a standard deck of cards. Find P(A U B) in ...
- Math - I'm sorry it's been a while since I've been on Jishka. how are you guys? ...
- Math - (7.66 • 10^2)(6.29 • 10^-4) answer then convert to scientific notation. ...
- Calculus I - Hello! I am not sure why I am getting this problem wrong, and I ...
- Math - I need help multiplying the fractions out. The question is... x/3 + y/2...
- math - How long to the nearest year, will it take an investment at a rate of 12....
- MATH PLEASE CHECK IT!!2 - m-2/m-5*m+5/m-2=-1 If your problem is this: (m - 2)/(m...
- algebra - Can someone show me the step to solving this equation because I am ...
- Math - Could someone please help me. Solve the linear equation by substitution. ...
- Physics HELP HELP - (for some reason I keep getting this wrong. I put 90 for c, ...

More Related Questions