Mathematics
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OpenStudy (anonymous):
Will medal and fan.
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OpenStudy (anonymous):
Solve the equation \[\sqrt{x+4}-3=1\] for the variable. Show each step of your solution process.
OpenStudy (anonymous):
@welshfella @ankit042 @Loser66 @DarkMoonZ @Nnesha
OpenStudy (welshfella):
first add 3 to both sides of the equation
then square both sides
OpenStudy (welshfella):
then its easy
OpenStudy (anonymous):
Ok so \[\sqrt{x+4+3}-3=1+3\]
So \[\sqrt{x+4}=4\]
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OpenStudy (anonymous):
And the \[\sqrt{x^2+16}=16\]
OpenStudy (anonymous):
@welshfella
OpenStudy (welshfella):
No when you 'square the square root' of something the answer is that something.
for example sqrt 4 squared = 4
OpenStudy (anonymous):
So take away the square root thing?
OpenStudy (anonymous):
So just x+4 = 4
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OpenStudy (welshfella):
yea - so what do you get after
sqrt(x + 4) = 4
OpenStudy (welshfella):
no not x + 4 = 4
- BOTH SIDES of the equation must be squared
OpenStudy (anonymous):
I'm not following, what would the left side be?
OpenStudy (welshfella):
the keft side is x + 4 - that is correct but the right side must also be squared - the 4
OpenStudy (anonymous):
So the right side is 16?
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OpenStudy (welshfella):
yes
OpenStudy (anonymous):
x + 4 = 16
OpenStudy (welshfella):
x + 4 = 16
OpenStudy (anonymous):
Ah because it wasn't under the square root sign.
OpenStudy (welshfella):
gotta go
I think you got it now
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OpenStudy (welshfella):
yea