Question

Can someone explain extraneous and non-extraneous to me, thanks.

Answer 1

extraneus are solution that dont fit in th eqaution non ones ar opposite

Answer 2

yeah but what does it mean if it doesn't fit

Answer 3

??

Answer 4

extraneus means it doesnt fit

Answer 5

ok im still confused

Answer 6

non-extraneus means it fits the equation

Answer 7

yeah but what do you mean it doesn't fit

Answer 8

example would be helpful

Answer 9

@iambatman

Answer 10

@iambatman ??

Answer 11

she wants n expmple i cant do thats can you?

Answer 12

Here is a good definition that I always thought about when thinking about this, here's the link https://www.mathsisfun.com/definitions/extraneous-root.html

Answer 13

Err this is for math right haha?

Answer 14

yeah for algebra 2 lol

Answer 15

Alright was just wondering since it's on the history section :P

Answer 16

wait what this the history section?

Answer 17

Yup! No worries though, anyways did that definition make sense?

Answer 18

that's weird bc i closed out of the history section a long time ago but ok

Answer 19

and yeah it makes sense kinda

Answer 20

The one you may see a lot for a example is \[\sqrt{x} = -3\]
so now if you square both sides \[(\sqrt{x})^2 = (-3)^2 \implies x = 9~~~~\sqrt{9} \neq -3\] so it's a extraneous solution

Answer 21

ohhh so basically it has to equal to zero when x gets plugged back into the equation and that will make it non-extraneous?

Answer 22

*to be equal to

Answer 23

Not really sure what you mean, but extraneous root can be thought of as an answer that is not the "true answer" but still can be correct, if that makes sense.

Answer 24

From that link it says "When you put "a" into the original equation it becomes zero, but when you put in "b" it doesn't. So "b" is an extraneous root."

Answer 25

So when a is plugged back into the equation it equals zero so that means it's non-extraneous right??

Answer 26

@iambatman

Answer 27

That's just one example, it's not always the case, as I presented above.

Answer 28

im still confused so what makes an equation non-extraneous??

Answer 29

non - extraneous would be the right solution upon checking the solution.

Answer 30

Also, my title just changed to mathematics so I guess you're in the right section and my OS was messed up :P

Answer 31

\[ \frac{ 4 }{ x+2 }=\frac{ 2 }{ x}\] how would i solve for x and determine if the root is extraneous or not?

Answer 32

@SolomonZelman

Answer 33

@ganeshie8

Answer 34

help someone

Answer 35

anyone

Answer 36

@satellite73

Answer 37

@e.mccormick

Answer 38

nobody.wants.to.help.me.

Answer 39

this.is.awesome.

Answer 40

not

Answer 41

helppppppppppppppppppppppp

Answer 42

:(((((((((((

Answer 43

@jdoe0001

Answer 44

@mathstudent55

Answer 45

this sucks

Answer 46

no help

Answer 47

im talking to myself

Answer 48

this is gr8

Answer 49

What have you tried?