Posted by **math help** on Sunday, December 5, 2010 at 10:31pm.

Solve and check all proposed solutions.

Show work for solving and for checking.

x+1/x-1 - 2/x^2-x=0

- algebra -
**Henry**, Tuesday, December 7, 2010 at 5:33pm
(x + 1) / (x - 1) - 2 / (x^2 - x) = 0.

Common denominator = (X^2 - x).

(x^2 + x - 2) / (x^2 - x),

Factor numerator and denominator:

(x - 1) (x + 2) / x(x - 1),

Cancel the (x - 1) factors and get:

(x + 2) / x = 0,

Cross multiply:

x + 2 = 0,

x = -2.

Check:

(-2 + 1) / (-2 -1) - 2 / ((-2)^2 - (-2)),

(-1 / -3) - 2 / 6,

1 / 3 - 1 / 3 = 0.

## Answer this Question

## Related Questions

- Algebra Help - Please solve and check all proposed solutions. Show work for ...
- Algebra - Solve the equation. Check all proposed solutions. Show work in solving...
- Algebra - Solve the equation. Check all proposed solutions. Show work in solving...
- Math - Solve the equation: 4/3-x + 1/x+9 = 5/3-x Check all proposed solutions. ...
- Algebra - Can someone please show me the steps to this problem? I get 0,1 as ...
- Algebra - I have some problems that I am having trouble with and I have some ...
- Math - 3. Factor completely and solve. Check your solutions. Show all work. 6x^3...
- Algebra 2 - solve each equation. check for extraneous solutions. sqrt(2x+1)+sqrt...
- Algebra I - Write an equation based on the given facts and find the solution. ...
- college algebra - Solve the exponential equation. Express your solutions in ...