Question

(x+1)/(x-3)=4-(12/((x^2)-2x-3))

Answer 1

can you factor the denominaotr of the second fraction: x^2-2x-3

Answer 2

it is (x-3)(x+1)

Answer 3

yes good
now add that fraction to other side

Answer 4

like this
\[\frac{12}{(x-3)(x+1)} + \frac{x+1}{x-3} = 4\]

Answer 5

ok

Answer 6

combine fractions
multiply 2nd fraction by (x+1)/(x+1) to get common denominator

Answer 7

and 4 would stay the same?

Answer 8

yes

Answer 9

k

Answer 10

would i then remultiply the mononomials?

Answer 11

um yes, you mean expand (x+1)^2

now move denominator to right side
just as if you are cross-multiplying

Answer 12

\[\rightarrow 12 + (x+1)^{2} = 4(x+1)(x-3)\]

Answer 13

oh my gosh THAANNNKKK YOOOUUUUU

Answer 14

your welcome
you still need to multiply it out, add like terms and solve the quadratic though :)

Answer 15

WAIT SO WHAT WOULD THE ANSWER BE ?

Answer 16

x = something
just multiply it out and get everything to one side

Answer 17

ok

Answer 18

The solutions are
x = -5/3
x = 5

so you can check your answers

Answer 19

sweet thanks