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OpenStudy (anonymous):
\[\sqrt{3x+24 } =x+2\]
OpenStudy (anonymous):
i square both sides correct?
OpenStudy (anonymous):
3x+24=(x+2)^2
OpenStudy (anonymous):
3x+24=(x+2)^2
3x + 24 = x^2 + 4x + 4
OpenStudy (anonymous):
ok then i use foil. x^2+2x+2x+4
3x+24=x^2+4x+4
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OpenStudy (anonymous):
and then? :P
OpenStudy (anonymous):
You got it tena, now combine your like terms
OpenStudy (anonymous):
subtract 24 from both sides... 3x=x^2+4x-20
OpenStudy (anonymous):
sub 3x...0=x^2+x-20
OpenStudy (anonymous):
then i factor that and then a bunch of other stuff lol i dont feel like typing lol :)
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OpenStudy (anonymous):
=P
OpenStudy (anonymous):
then i got 4 as the answer.
OpenStudy (anonymous):
You should have 2 answers
OpenStudy (anonymous):
hmm i put in 4 and it was correct.
OpenStudy (anonymous):
0=x^2+x-20
0 = (x+5)(x-4)
so x = -5 and x = 4
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OpenStudy (anonymous):
i wonder why it said it was correct for just one answer..hmm idk but heck as long as it counted it right lol
OpenStudy (anonymous):
basically in general terms, it's a polynomial function. there's more to elaborate on that but, yeah so polynomial functions usually have more than ONE x value that can make the equation true.