anonymous
  • anonymous
.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
|dw:1366677654241:dw|
precal
  • precal
also, the domain helps in identifying extraneous solutions

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More answers

Mertsj
  • Mertsj
And that answer will not check. It is an extraneous solution.
anonymous
  • anonymous
I got it, it's 5
Mertsj
  • Mertsj
You solved your problem?
anonymous
  • anonymous
Yes
Mertsj
  • Mertsj
Good for you!!!
Mertsj
  • Mertsj
Hey...just a minute. I don't think 5 will check.
Mertsj
  • Mertsj
|dw:1366677868347:dw|
Mertsj
  • Mertsj
Some graduate student made a grievous error in writing your question.
anonymous
  • anonymous
What?
Mertsj
  • Mertsj
As you can see...5 does not make the sentence true.
Mertsj
  • Mertsj
So if 5 was accepted as a correct answer, someone has put the wrong answer into the computer program .
Mertsj
  • Mertsj
Didn't you also get -3 as an answer?
precal
  • precal
you mean |dw:1366678251238:dw|
anonymous
  • anonymous
@precal Why does that matter though.. It wasn't my question it was his example
Mertsj
  • Mertsj
|dw:1366678291957:dw|
precal
  • precal
because 13 is extraneous
Mertsj
  • Mertsj
You see...-3 is actually an answer. It checks. 5 is extraneous.
Mertsj
  • Mertsj
@precal That was an example I constructed to illustrate extraneous roots for the asker
precal
  • precal
sorry Mertsj, saw your example and not the actual problem
Mertsj
  • Mertsj
np
precal
  • precal
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
anonymous
  • anonymous
5 is the extraneous solution and that's why it's was the answer to my problem
Mertsj
  • Mertsj
oh. So they were asking for the extraneous root. Cool. Then it is right.
anonymous
  • anonymous
Yes lol
Mertsj
  • Mertsj
Yep. I reread the question. Always helps to know the question one is attempting to answer.
precal
  • precal
extraneous solutions can also, occur in other functions (example logarithmic)

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