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

Answer: x = 0?

  1. 👍
  2. 👎
  3. 👁
  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. 👍
    2. 👎
  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. 👍
    2. 👎
  3. I did the problem again and still got zero. I give up

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    question 1. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality and describe the solution set. y–6≥12 question 2.Note: Enter your answer and show all

  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:

  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.

  4. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. Draw a

  1. Quadratic Functions2

    Determine the standard form of a quadratic function whose graph has a y intercept of 8 and a vertex at (-2,-4). The answer is f(x)= 3x^2 + 12x +8 but I can't figure out how to get the answer. Solve x^2 + x=6, by factoring. The

  2. Algebra 2

    I'm working on Lesson 6: Absolute Value Equations and Inequalities Algebra 2 A Unit 2: Expressions, Equations, and Inequalities and feel confident in my first few answers, but beyond that am lost. May I have some help? **=the


    1 )3x + 8y = 1 7x + 4y = 17 Answer: (3,1) 2) -3x + 5y = -7 9x + 2y = 38 Answer: (4,1) 3) 7r + 3s = 13 14r - 15s = -16 Answer: (1,2) 4) 2x - 7y = 42 4x - 14y = 64 Answer: No Solution ?? 5) 9x + 12y = 15 3x + 4y = 5 Answer: Identity

  4. Pre Cal

    Solve 4sin^2 x + 4sqrt(2) cos x-6 = 0 for all real values of x. My answer: (pi/4)+2(pi)k, (7pi/4) + 2(pi)k Solve 2cos^2 x-5cosx+2=0 for principal values of x. My answer: 60 and 300 degrees

  1. math

    Solve for the indicated variable A=1/2 bh Solve for b 2A = bh, so b = 2A/h ok thanks so on this example C=2pie r Solve for R Would the answer be 2C/pie=r ???? ok thanks so on this example C=2pie r Solve for R Would the answer be

  2. 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

  3. 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

  4. physics

    A golfer hits a ball from the origin with an initial speed of 35 m/s at an angle of 44 degrees above the horizontal axis. The ball is moving down when it lands on a green that is 3.00 m above the level where it was struck. Neglect

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