algebra

posted by .

Solve and check all proposed solutions.
Show work for solving and for checking.
x+1/x-1 - 2/x^2-x=0

  • algebra -

    (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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    I have some problems that I am having trouble with and I have some that need checking please. Thanks! Solve the equation. 4. (x+7/4)=2(x-1/6) Find all the value(s) of x that make thedenominator(s) zero. Then solve the equation. 6. …
  2. Algebra

    Solve the equation. Check all proposed solutions. Show work in solving and in checking. Root3-x = x-1
  3. Math

    Solve the equation: 4/3-x + 1/x+9 = 5/3-x Check all proposed solutions. Show work in solving and in checking.
  4. Algebra

    Solve the equation. Check all proposed solutions. Show work in solving and in checking. sqrt3-x=x-1
  5. Algebra Help

    Please solve and check all proposed solutions. Show work for solving and checking: (x-2)/(x-1) + (2)/(x^2-1) = 0
  6. Algebra

    Can someone please show me the steps to this problem?
  7. Algebra I

    Write an equation based on the given facts and find the solution. Show all your work, including the steps for solving the equation and checking your answer. –2 times a number plus 12 is –110. Find the number.
  8. Math

    3. Factor completely and solve. Check your solutions. Show all work. 6x^3 – 15x^2 – 36x = 0
  9. Algebra 2

    solve each equation. check for extraneous solutions. sqrt(2x+1)+sqrt(2x+6)=5 please show work!!!!!
  10. Math

    Evaluate the expression for the given value of the variable. Show your work. [-4b-8]+[-1-b^2]+2b^3;b=-2 Solve the equation. Check for extraneous solutions. 9[9-8x]=2x+3. Show your work. I really need help with both of these problems.

More Similar Questions