Mathematics
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OpenStudy (amtran_bus):
If xy^2 = 12 and xy = 4, what is x?
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ganeshie8 (ganeshie8):
xy = 4 gives y = 4/x
Plug this in the first equation
OpenStudy (amtran_bus):
\[x (\frac{ 4 }{ x })^2 =12\]
ganeshie8 (ganeshie8):
You must know what to do next
OpenStudy (amtran_bus):
Lol I should you are right but it sure does not mean I do
Well, Can you say x 16/x^2 =12?
ganeshie8 (ganeshie8):
Keep going
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OpenStudy (amtran_bus):
\[x(\frac{ 16 }{ x^{2} })=12\]
and then you can multiply by x^2
\[x^{3} (16) =12?\]
ganeshie8 (ganeshie8):
Slow down your bus and relax
OpenStudy (amtran_bus):
The air compressor isn't working...no air in the air brakes.
OpenStudy (amtran_bus):
Well, If I am right so far, then 12/16
ganeshie8 (ganeshie8):
You cannot simply multiply a thing just one side. You must do the same thing to both sides.
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OpenStudy (amtran_bus):
Shoot
OpenStudy (amtran_bus):
lol I feel like I'm at a math spa
ganeshie8 (ganeshie8):
You would be doing these problems quickly if you did them slowly and relaxedly
OpenStudy (amtran_bus):
Sorry ya'll it is so slow
OpenStudy (amtran_bus):
Ok so does the x^2 go on both sides?
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OpenStudy (amtran_bus):
\[x^{3}(16)=12* x^{2}\]
OpenStudy (amtran_bus):
I guess he gone
ganeshie8 (ganeshie8):
Good. Keep going
OpenStudy (amtran_bus):
Oh.
OpenStudy (amtran_bus):
I don't understand why you had to multiply that on both sides. I mean, I was just simplifying the LHS
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ganeshie8 (ganeshie8):
Oh wait, looks I've messed up. Let me pause my TV, one sec
ganeshie8 (ganeshie8):
We have
x * 16/x^2 = 12
OpenStudy (amtran_bus):
Yes
ganeshie8 (ganeshie8):
Then you wanted to multiply both sides by x^2 is it ?
OpenStudy (amtran_bus):
x3(16)=12∗x2
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ganeshie8 (ganeshie8):
No dear
OpenStudy (amtran_bus):
oh well I give up
ganeshie8 (ganeshie8):
On the left hand side,
notice that x^2 is in the bottom
ganeshie8 (ganeshie8):
That's the reason you wanted to multiply x^2 both sides. You want to kill the denominator by multiplying both sides by it.
OpenStudy (amtran_bus):
I just posted that and you said no...
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OpenStudy (amtran_bus):
@mathstudent55 please help
OpenStudy (agent0smith):
\[x *\frac{ 16 }{ x^2 } =12\]why not simplify first...\[\frac{ 16 }{ x }= 12\]