Question

HELP solve for x?
3/(x-3)=x/(x-3)-3/2
and is it extraneous or non extraneous?

Answer 1

what are you trying to solve ???

Answer 2

@TrapBoiTrynaEducaate I edited it

Answer 3

3/(x-3) - x/(x-3) = - 3/2
(3 - x) / (x - 3) = - 3/2
3 - x = -3/2 (x-3)
3 - x = -(3/2)x + 9/2
6 - 2x = -3x + 9
x = 3

Answer 4

@TrapBoiTrynaEducaate is the solution extraneous or non extraneous?

Answer 5

idek i just did it like that

Answer 6

try plugging in x = 3 into original equation

Answer 7

@TrapBoiTrynaEducaate if you plug in x=3 you get 0 in the denominator, so I guess it's extraneous?

Answer 8

yup

Answer 9

right

Answer 10

@cwrw238 thank you

Answer 11

yw