Question

Solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not.
x = −2, extraneous
x = −2, non-extraneous
x = −3, non-extraneous
x = −3, extraneous

Answer 1

@Hero I don't know what extraneous means o.o....

Answer 2

it means "not really a solution"
sort of silly because either you have a solution or you do not
but maybe we can do it by example

Answer 3

\[\frac{6}{x-3}=\frac{3}{x}\]

Answer 4

Yes

Answer 5

ok here is the deal:
if you solve and get \(x=3\) as the answer, it will be "extraneous" because you cannot really replace \(x\) by \(3\)
that would make the denominator equal to zero

Answer 6

solve by rewriting as \[6x=3(x-3)\]

Answer 7

multiply out, get \[6x=3x-9\] then go from there

Answer 8

you good or no?

Answer 9

hold on and yes

Answer 10

Am I suppose to factor or something?

Answer 11

no

Answer 12

it is a linear equation
solve \[6x=3x-9\] in two steps
a) subtract \(3x\) from both sides
b) divide by sides by \(3\)

Answer 13

Oh. Then noooo I'm confused >_<.

Answer 14

Ok hold on I will give you a answer

Answer 15

you factor quadratics, ( degree 2) not linear equations

Answer 16

I got 2...Idk what im doing ):

Answer 17

Wait

Answer 18

\[6x=3x-9\\
-3x~~-3x\\
3x=-9\]

Answer 19

-9 divided by 3 right?

Answer 20

yes

Answer 21

Ok I got -3

Answer 22

yes that is right

Answer 23

Yay!! is extranous

Answer 24

no no-extraneous

Answer 25

ok, thank you so much @satellite73 I am fanning you

Answer 26

yw