x/x+3 - 3/x-3 = x^2+9/x^2-9

Answer: x = 0?

  1. 👍 0
  2. 👎 0
  3. 👁 150
  1. Plug your 0 into the x in your equation and you get 1 = -1, which is false, which mean: no, the answer is not x = 0.

    Since you didn't show your work, I have no idea what you did wrong on your process... or maybe you just guess 0 and didn't do any work at all. But I'll tell you a few steps to approach this problem.

    First, you find a common denominator for the 3 fractions (Hint: factor out the x^2-9). Now they all have the same denominator, you can basically ignore the denominator part and combine all the like-terms on the numerator and then bring "x" on one side and solve for x. Plug the number back into your equation to check and if it works, you know you got the right answer.

    *I did it and I found the answer quite tricky, you sure you typed the problem correctly? Anyway, there's still an answer, just a tricky one.

    1. 👍 0
    2. 👎 0
    posted by Jake1214
  2. Without parentheses your equation is ambiguous. I will assume that what is intended is
    x/(x+3) - 3(x-3) = (x^2+9)/(x^2-9)
    Multiply both sides by (x+3)(x-3), which is the same as x^2-9, and you get
    x(x-3) -3(x+3) = x^2 +9
    x^2 -6x -9 = x^2 + 9
    -6x = 18
    x = -3

    x=0 is not a solution. You can verify that by substituing x=0 into the original equation. You get 1 = -1, which cannot be true

    x= -3 result causes zeros to appear in denominators on both sides of the original equation, so technically speaking, the equation is meaningless there. Nevertheless, the equation tends toward validity as x approaches -3

    1. 👍 0
    2. 👎 0
    posted by drwls
  3. I did the problem again and still got zero. I give up

    1. 👍 0
    2. 👎 0
    posted by Bretagne

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 2(check) cont..

    1)solve the inequality -3(r-11)+15>_9 my answer = r

    asked by erin on July 21, 2007
  2. Algebra II

    Please check the following: Solve log4(m-3)+ log4(m+3) =2 Answer: 1 Solve 6^3n=43^5n-4 Answer: 1.1202 Solve 5^2x+1>=50 Answer:x>=4.5000 Use common logarithms to approximate log9(207) to four decimal places. Answer: 2.4270 Ealuate:

    asked by Lucy on March 29, 2008
  3. Algebra II

    Please check answers: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x= -2. My answer: -2/25 Solve 64^x/=5/2 Thanks.

    asked by Lucy on March 29, 2008
  4. Math

    Solve each system of linear equations. 1/ y=2x_3 y_2x=_3 Answer: 0=0 2/ 3x+y=4 _3x=y_7 Answer: 0=3 or 0=11 3/ y=_4x+1 4x=_y_6 answer: 0=5 or 0=7 4/ Y_x+3=0 X=y+3 answer: 0=0 Please,if the answers were wrong, helpe me for solve

    asked by Jen on September 24, 2018
  5. Algebra 2 (check)

    I have some problems that I've answered and I need someone to check to see if I'm right. Im just posting the questons and my answer,if its wrong I'll post my work,so here it is bear with me please and thank you. 1)name which sets

    asked by erin on July 21, 2007
  6. math 12

    i got the wrong answer from the back, and i know that imnot dooing it right. please try to help me on this hard question. THE ANSWER WAS:16 solve the equation: 3log(x-15)= (1/4)^x i don't know how to solve it algerbrically. the

    asked by kajal on June 2, 2011
  7. Algebra 1

    Can someone please check my answers? Thank You 1) Find an equivalent expression without parenthesis -(y+87) Answer: -y-87 3) Solve -3x-13x=96 answer: x= -6 4) Find the decimal notation 14/25 Answer: .56 5) Divide if possible 7/0

    asked by deedee on November 5, 2008
  8. Basic Math

    I forgot how to solve for two variables... Please check if I solved both problems properly! Thank you. Equations: (solve for t and z) 12t + 4z = 80 2t + 4z = 20 My answer: t = 2, z = 14 The steps: (simplified it) z = 20 - 3t, z =

    asked by Anonymous on January 10, 2009
  9. math

    Can someone please check my work? Solve using substitution method 1. 3x+2y=12 x=52-6y answer:-40.8 I am pretty sure that one is wrong. Solve using elimination method 2. 2r-7s=-31 7r+2s=24 answer: (230/53,-468/53) 3.3x+4y=3 6x+8y=6

    asked by deedee on January 6, 2009
  10. Calculus

    solve (Z^2)+5=-4/Z^2 how do i solve it?? the answer is +2or-2, or, +or -i. but i really don't know how to get this answer.i tried to multiply both side by Z^2, but i think it just made it more comlicated and i didn't get the right

    asked by Anne on March 12, 2008
  11. Algebra

    This will be a multiple post thing so please bear with me. If my answers are wrong then please explain I'll post my work as needed thanks. 1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12.

    asked by Marissa on August 12, 2007

More Similar Questions