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

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

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

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

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

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

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

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

sugarheart
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0because 13 is extraneous

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

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

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

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