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sugarheart
 2 years ago
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sugarheart
 2 years ago
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Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3The 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.

precal
 2 years ago
Best ResponseYou've already chosen the best response.0also, the domain helps in identifying extraneous solutions

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3And that answer will not check. It is an extraneous solution.

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3You solved your problem?

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3Hey...just a minute. I don't think 5 will check.

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3Some graduate student made a grievous error in writing your question.

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3As you can see...5 does not make the sentence true.

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

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3Didn't you also get 3 as an answer?

precal
 2 years ago
Best ResponseYou've already chosen the best response.0you mean dw:1366678251238:dw

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

precal
 2 years ago
Best ResponseYou've already chosen the best response.0because 13 is extraneous

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3You see...3 is actually an answer. It checks. 5 is extraneous.

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3@precal That was an example I constructed to illustrate extraneous roots for the asker

precal
 2 years ago
Best ResponseYou've already chosen the best response.0sorry Mertsj, saw your example and not the actual problem

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

sugarheart
 2 years ago
Best ResponseYou've already chosen the best response.05 is the extraneous solution and that's why it's was the answer to my problem

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.3oh. So they were asking for the extraneous root. Cool. Then it is right.

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

precal
 2 years ago
Best ResponseYou've already chosen the best response.0extraneous solutions can also, occur in other functions (example logarithmic)
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