Mathematics
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OpenStudy (camerondoherty):
Can anyone show me how to solve this equation?
11 years ago
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OpenStudy (camerondoherty):
\[2\sqrt{x+1}+2=4\]
11 years ago
OpenStudy (camerondoherty):
@dan815 can u help me plz?
11 years ago
OpenStudy (dan815):
move the 2 over to the other side and divide everything by first
11 years ago
OpenStudy (camerondoherty):
?
11 years ago
OpenStudy (dan815):
\[2\sqrt{x+1}+2-2=4-2\]
\[2/2\sqrt{x+1}=2/2\]
\[\sqrt{x+1}=1\]
11 years ago
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OpenStudy (camerondoherty):
2/2 = 1 -_-
11 years ago
OpenStudy (dan815):
\[\sqrt{x+1}=1\]
\[\sqrt{x+1}=1\]
\[x+1=1\]
x=0
11 years ago
OpenStudy (camerondoherty):
o so you divide both sides by 2?
11 years ago
OpenStudy (dan815):
oh the 2nd step didnt come out right i square both sides
11 years ago
OpenStudy (dan815):
yes
11 years ago
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OpenStudy (camerondoherty):
wait what about the 2nd step?
11 years ago
OpenStudy (dan815):
\[(\sqrt{x+1})^2=1^2\]
\[x+1=1\\x=0\]
11 years ago
OpenStudy (dan815):
to get rid of the sqrt we square both sides
11 years ago
OpenStudy (camerondoherty):
u helped a lawt
11 years ago
OpenStudy (dan815):
sure ^^
11 years ago
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OpenStudy (camerondoherty):
how do you check?
11 years ago
OpenStudy (dan815):
you can check by seeing that when you plug x=0 back in the it satisfies the eqn
11 years ago
OpenStudy (dan815):
\[2\sqrt{x+1}+2=4\\ 2\sqrt{0+1}+2=4\\2*1+2=4\]
11 years ago
OpenStudy (camerondoherty):
\[2\sqrt{0+1}+2=4\]
\[2/2\sqrt{0+1}=2/2\]
\[\sqrt{0+1}^2=1^2\]
\[1=1\]
True
11 years ago
OpenStudy (dan815):
lol yes if u wanna take it that far!
11 years ago
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OpenStudy (dan815):
the sqrt goes over the +1 too
11 years ago
OpenStudy (dan815):
but yes its fine otherwise
11 years ago
OpenStudy (camerondoherty):
yes ik i couldnt put it over it on word -_-
11 years ago
OpenStudy (camerondoherty):
and thx
11 years ago
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OpenStudy (camerondoherty):
Is this good too @dan815 its the same one just with the check thingy
http://prntscr.com/4163ns
11 years ago
OpenStudy (dan815):
yep looks good cam
11 years ago
OpenStudy (camerondoherty):
k thx :)
11 years ago
OpenStudy (camerondoherty):
again
11 years ago
OpenStudy (aum):
If Word doesn't let you extend the radical sign over 1, you can always group the terms using parenthesis. Instead of √x + 1, you can use parenthesis: √(x+1).
11 years ago
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OpenStudy (camerondoherty):
oh ok thanks aum
11 years ago