Question

is x=6 extranous or no

Answer 1

@taramgrant0543664

Answer 2

where is the equation?

Answer 3

you want me to make one lol

Answer 4

ok good!!
what did you do thus far?

Answer 5

igt x=6

Answer 6

but ineed to know if its extranous or not

Answer 7

well put it back into the equation and see if it does work?
if we put six what is the problem?

Answer 8

It does not really work does it?

Answer 9

that will produce division by zero yes?
which is not allowed

Answer 10

you agree or disagree? what is your stance?

Answer 11

hhhh well can we divide by 0
can we have 6/0 in the left
in the right 6/0-6/2

Answer 12

what is 6/0? can you have an answer?

Answer 13

not so not extanrous

Answer 14

ok once step at a time
what is extraneous solution

Answer 15

let me answer this,
it is a solution that you find by correct algebraic maneuvers but it does not work for the equation when we put it back

Answer 16

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Answer 17

yeah that's the definition right there
so from the start x=6 is excluded from domain yes

Answer 18

but when you were solving the equation to transform it using some maneuvers then you got x=6

Answer 19

that's why we say it is extraneous solution because it is not included in the domain

Answer 20

here is what we do \[\frac{x}{x-6}=\frac{x}{x-6}-\frac{6}{2}\]
domain here is every real number except 6

Answer 21

slight mistake first should be 6/x-6

Answer 22

so \[\frac{6}{x-6}=\frac{x}{x-6}-\frac{6}{2}\]
\[\frac{6}{x-6}=\frac{2x-6}{2(x-6)}\]
\[\frac{6}{\cancel {x-6}}=\frac{2x-6}{2\cancel{(x-6)}}\]
\[6=\frac{2x-6}{2}\Longrightarrow 12 =2x-6 \Longrightarrow x=9\]

Answer 23

how did you got x=6?

Answer 24

i got 9

Answer 25

oh my bad i miss something

Answer 26

correct the solution found is x=6
just missed up above in line 2

Answer 27

so 6 we said excluded therefore it is extraneous

Answer 28

was that helpful? clear?