Saturday

April 18, 2015

April 18, 2015

Posted by **Bretagne** on Sunday, February 3, 2008 at 1:19pm.

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

Answer: x = 0?

- Algebra -
**Jake1214**, Sunday, February 3, 2008 at 2:47pmPlug 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.

- Algebra -
**Bretagne**, Sunday, February 3, 2008 at 3:00pmI did the problem again and still got zero. I give up

- Algebra -
- Algebra -
**drwls**, Sunday, February 3, 2008 at 2:53pmWithout 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

**Answer this Question**

**Related Questions**

Algebra II - Please check answers: Use the equation of the exponential function ...

Algebra 1 - Can someone please check my answers? Thank You 1) Find an equivalent...

Algebra 1 - 17) Simplify [32/-8]/-1/2 Answer: -8 18) Add -7+(-9) Answer: -16 19)...

algebra - Solve the given equations: 1. |2x-5|= 29 Answer: x=17 or is it...

college algebra - solve for x 3(x-2)= -4(x+8)+10 my answer to this was -16/7 ...

Algebra II - Please check the following: Solve log4(m-3)+ log4(m+3) =2 Answer: 1...

Algebra 2(check) cont.. - 1)solve the inequality -3(r-11)+15>_9 my answer = r...

Algebra 2 - 1. Solve the following for x. 3-(x+(-4))= 2x-6+5x I figured that the...

8th Grade Algebra- Answer Check - Solve each system of equations, give the ...

Algebra - Please Solve: 4-x=-5 I thought the answer was -9 but that doesn't seem...