Question

What is the solution to the rational equation (x/x^2-9) - (1/x-3) = (1/4x-12)

Answer 1

you know you can write x^2 - 9
(x-3)(x+3)
and 4x - 12
4(x-3)
now you know how to solve it ?

Answer 2

i think... would -9/7 be the right answer?

Answer 3

i dont think
lets do more steps :
so we said :
x/((x-3)(x+3)) - 1/(x-3) = 1/(4(x-3))
now we can get rid of (x-3) by saying x is not 3
so we left with :
x/(x+3) - 1 = 1/4

Answer 4

now multiply the equation by x+3
and solve for x

Answer 5

i got -15

Answer 6

its good .. you can plug it into the equation that you stated with
and check if it works!

Answer 7

that's something good about equations .. you can go back to the first equation and check your answer.

Answer 8

it does but im not sure i did the math right, you got -15 too?

Answer 9

yes its fine.

Answer 10

okay perfect thanks !!

Answer 11

yw :)