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Mertsj Group TitleBest ResponseYou've already chosen the best response.3
The deal is this....when you square an equation you sometimes end up with a "solution" that doesn't make the sentence true. Those are called extraneous roots. They are the reason your teacher tells you to always check the answers you get when solving radical equations. Sometimes they don't work. Let me show you an example.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1366677654241:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
also, the domain helps in identifying extraneous solutions
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
And that answer will not check. It is an extraneous solution.
 one year ago

sugarheart Group TitleBest ResponseYou've already chosen the best response.0
I got it, it's 5
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
You solved your problem?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Good for you!!!
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Hey...just a minute. I don't think 5 will check.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1366677868347:dw
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Some graduate student made a grievous error in writing your question.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
As you can see...5 does not make the sentence true.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
So if 5 was accepted as a correct answer, someone has put the wrong answer into the computer program .
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Didn't you also get 3 as an answer?
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
you mean dw:1366678251238:dw
 one year ago

sugarheart Group TitleBest ResponseYou've already chosen the best response.0
@precal Why does that matter though.. It wasn't my question it was his example
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1366678291957:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
because 13 is extraneous
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
You see...3 is actually an answer. It checks. 5 is extraneous.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
@precal That was an example I constructed to illustrate extraneous roots for the asker
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
sorry Mertsj, saw your example and not the actual problem
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
Key idea @sugarheart is that when solving solutions for square root equations or radicals, extraneous solutions do exist so we have to check for them
 one year ago

sugarheart Group TitleBest ResponseYou've already chosen the best response.0
5 is the extraneous solution and that's why it's was the answer to my problem
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
oh. So they were asking for the extraneous root. Cool. Then it is right.
 one year ago

sugarheart Group TitleBest ResponseYou've already chosen the best response.0
Yes lol
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Yep. I reread the question. Always helps to know the question one is attempting to answer.
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.0
extraneous solutions can also, occur in other functions (example logarithmic)
 one year ago
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