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Mathematics 18 Online
OpenStudy (camerondoherty):

Can anyone show me how to solve this equation?

OpenStudy (camerondoherty):

\[2\sqrt{x+1}+2=4\]

OpenStudy (camerondoherty):

@dan815 can u help me plz?

OpenStudy (dan815):

move the 2 over to the other side and divide everything by first

OpenStudy (camerondoherty):

?

OpenStudy (dan815):

\[2\sqrt{x+1}+2-2=4-2\] \[2/2\sqrt{x+1}=2/2\] \[\sqrt{x+1}=1\]

OpenStudy (camerondoherty):

2/2 = 1 -_-

OpenStudy (dan815):

\[\sqrt{x+1}=1\] \[\sqrt{x+1}=1\] \[x+1=1\] x=0

OpenStudy (camerondoherty):

o so you divide both sides by 2?

OpenStudy (dan815):

oh the 2nd step didnt come out right i square both sides

OpenStudy (dan815):

yes

OpenStudy (camerondoherty):

wait what about the 2nd step?

OpenStudy (dan815):

\[(\sqrt{x+1})^2=1^2\] \[x+1=1\\x=0\]

OpenStudy (dan815):

to get rid of the sqrt we square both sides

OpenStudy (camerondoherty):

u helped a lawt

OpenStudy (dan815):

sure ^^

OpenStudy (camerondoherty):

how do you check?

OpenStudy (dan815):

you can check by seeing that when you plug x=0 back in the it satisfies the eqn

OpenStudy (dan815):

\[2\sqrt{x+1}+2=4\\ 2\sqrt{0+1}+2=4\\2*1+2=4\]

OpenStudy (camerondoherty):

\[2\sqrt{0+1}+2=4\] \[2/2\sqrt{0+1}=2/2\] \[\sqrt{0+1}^2=1^2\] \[1=1\] True

OpenStudy (dan815):

lol yes if u wanna take it that far!

OpenStudy (camerondoherty):

@dan815 one more question did i type this right? http://prntscr.com/41626z

OpenStudy (dan815):

the sqrt goes over the +1 too

OpenStudy (dan815):

but yes its fine otherwise

OpenStudy (camerondoherty):

yes ik i couldnt put it over it on word -_-

OpenStudy (camerondoherty):

and thx

OpenStudy (camerondoherty):

Is this good too @dan815 its the same one just with the check thingy http://prntscr.com/4163ns

OpenStudy (dan815):

yep looks good cam

OpenStudy (camerondoherty):

k thx :)

OpenStudy (camerondoherty):

again

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).

OpenStudy (camerondoherty):

oh ok thanks aum

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