Question

why do you get extraneous equations when solving rational equations

Answer 1

Explain why it is important to check your answers when solving equations with rational expressions.
^original question

Answer 2

go for it @dumbcow xD

Answer 3

because you can't divide by zero is 1 reason
example:
haha having trouble coming up with rational equation with extraneous solution

Answer 4

Gave you one xD

Answer 5

thx
\[\frac{1}{x-1}= \frac{3}{x+2}-\frac{6x}{(x-2)(x+2)}\]
this yields 2 solutions:
x=-2 and x=5/4

-2 is extraneous, because when you plug it in it makes the denominator 0 which is undefined

Answer 6

you know right away that x=1, x=2, x=-2 are all extraneous solutions because they cause function to be undefined

Answer 7

thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!