Question

Solve for x: 1/x+3 - 2/3-x = 4/x^2-9

Answer 1

As in 1 OVER x+3 and 2 OVER 3-x

Answer 2

is it 4/(x^2-9)

Answer 3

yes

Answer 4

okay then x = 1/3

Answer 5

How'd you do that? o_o

Answer 6

well first thing you want to do is try and get a common factor in the denominator

Answer 7

so what we do is subtract 4/(x^2-9) to the left side

Answer 8

Ohh! I forgot about that part

Answer 9

so we now have: \[1/(x+3) - 2/(-x+3) - 4/(x^2-9)\]

So we multiply the first term by (x+3)/(x+3)
and the second term by (-x+3)/(-x+3)

This gives us \[[(x+3)+(2x-6)-4] / (x^2-9) = 0\]

Answer 10

then simplifies down to (3x-1)/ (x^2-9) = 0

Multiply both sides by (x^2-9) so your left with 3x-1=0 and solve for x

so x = 1/3

Answer 11

Long but I hope it helped

Answer 12

thank you again. I'd bake you cookies if I could.

Answer 13

haha thanks i appreciate it and do love cookies lol