posted by April

Solve for x.

x/(x-2) + (2x)/[4-(x^2)] = 5/(x+2)

Please show work!

  1. Steve

    putting everything over a common denominator of (x-2)(x+2), we have

    x^2 = 5(x-2)
    x^2 - 5x + 10 = 0
    then just solve that for x

    Make sure that x ≠ ±2 since those values are not allowed in the original equation

  2. MathMate

    x/(x-2) + (2x)/[4-(x^2)] = 5/(x+2)

    This calls for finding the common denominator, and then solving for x using the numerators.
    Do not forget to exclude the asymptotes values of x where the denominator becomes zero.

    LCM (lowest ommon multiple) of denominators (x-2), (4-x²) and (x+2) is (x²-4), since (x-2)(x+2)=(4-x²)

    Provided that x≠2 and x≠-2, then we can write the equation above as:

    [x(x+2)-2x]/(x²-4) = 5(x-2)/(x²-4)
    provided x≠2 and x≠-2

    Equating numerators,

    However, the solution does not have real roots. The complex roots are:

  3. MathMate


    If you do not expect complex roots, please check for typos in the original question.

  4. April

    Thank you guys! That is what I got. I wasn't expecting the complex roots.. That's why I wanted to check whether or not I was doing it right!

  5. MathMate

    You're welcome!

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    Can someone please help me with this math problem. My teacher is looking for me to show my work, but I don't how to solve the problem to show my work. Please help!!! The problem is 2 1/2 + 3 1/4 + 3 5/8. Thank you for your help.
  2. mat115

    Please help me with this math question. I am asked to show my work but I don't know how to solve the problem to show my work. The question is: Choose the correct list of factors of the number 8. Again, I have to show my work with this …
  3. math

    solve: 4+8 1/2 -:- (1/4) to the third power. solve -11-(x+30)=-41-2 (5x-18) please show your work
  4. math

    2. Simplify. Please be sure to show all of your work. -3(-9) – |-5 – 3 3. Simplify. Please show all of your work 9c^3+7c-(3c^3-12+c) 4. Solve 4x- 3(5x-8) =23-9(x+2) . Please show all of your work 5. Solve the following equation …
  5. prealgebra

    can you please help me and help me solve this and show work: Identify the percent of change as an increase or a decrease. Then find the percent of change. #1.) Original:45 New:30 Please help i don't understand how to solve and show …
  6. Math..solve for u

    Solve u-2[2=3 [ is square root. Please show work
  7. math. solve for t

    1/1024=42*0.5^(t/12.5) Solve for t. Please show work. Much appreciated!
  8. Math

    6x-4y=54 -9x+2y=-69 Which system would work best to solve?
  9. Math help please

    A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Sn:   2 is a factor of n2 + 7n Could you please show your work?
  10. Math (Help!)

    Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?

More Similar Questions