Math

1/x+1-1/x+2=1/6

Must have 2 solutions

  1. 👍
  2. 👎
  3. 👁
  1. 1 / x + 1 - 1 / x + 2 = 1 / 6

    1 / x - 1 / x + 1 + 2 = 1 / 6

    3 = 1 / 6

    Makes no sense.

    1. 👍
    2. 👎
  2. however,

    1/(x+1) - 1/(x+2) = 1/6
    can be solved by rewriting it as
    6(x+2) - 6(x+1) = (x+1)(x+2)
    6x + 12 - 6x - 6 = x^2 + 3x + 2
    x^2 + 3x - 4 = 0
    (x+4)(x-1) = 0
    x = -4,1

    Now you know how useful parentheses can be. Always use them when posting problems where it's not clear how to group the terms.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    How many real number solutions does the equation have? y=3x^2-5x-5 A)one solution B)two solutions C)no solutions D)infinitely many solutions I can't figure this question out. Any help would be amazing.

  2. Algebra

    How many solutions does this system of equations have? y = 4x + 3 and 2y - 8x = 3 One, two, infinitely many, or no solutions? My answer is no solutions.

  3. algebra

    how many real number solutions does the equation have? 0=2x^2-20x+50 A. 1 solution B. 2 solutions C. no solutions** D. infinite solutions

  4. math

    How many solutions does the system have? y - 5x = -6 3y - 15x = -12 A) infinitely many solutions B) no solution C) two solutions D) one solution

  1. Math help :(

    I don't get any of these practice problems. 5. 2(x – 3) = 2x one solution no solutions infinitely many solutions 6. 3(y – 3) = 2y – 9 + y one solution no solutions infinitely many solutions 7. 10x – 2 – 6x = 3x – 2 + x

  2. Algebra

    How many real number solutions does the equation have? y=-4x^2+7x-8 A. no solutions B. one solution C. two solutions D. infinitely many solutions I think it is C..? How many real number solutions does the equation have?

  3. Algebra 1

    Explain why the two equations below have the same solutions. x + 3y = −1 −2x − 6y = 2 A. The two equations have the same slope, so they have the same solutions. B. The second equation is a multiple of the first equation, so

  4. math

    Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x a.one solution b.no solutions c.infinitely many solutions 2. 3(y – 3) = 2y – 9 + y a.one solution b.no solutions

  1. Math

    How many solutions does the system of equations below have? y=3x+4 y=3x+2 A) Only 1 solution B) Infinitely many solutions C) No solutions

  2. math

    Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x one solution no solutions infinitely many solutions 2. 3(y – 3) = 2y – 9 + y one solution no solutions infinitely

  3. Math

    1)How many real number solutions does the equation have? -8x^2-8x-2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank

  4. Algebra

    1.Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problem A.6x+10y=120

You can view more similar questions or ask a new question.