Mathematics
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OpenStudy (nirmalnema):
plz help..!!
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OpenStudy (nirmalnema):
\[(x+1/x =11 ) then find ( x^2+1/x^2)\]
OpenStudy (nirmalnema):
@chmvijay
OpenStudy (anonymous):
Whatchu mean?
OpenStudy (anonymous):
X+1 divided by x=11???
OpenStudy (nirmalnema):
x+ (1/x) mentioned in the que..!!
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OpenStudy (anonymous):
Can you take out the X?
OpenStudy (anonymous):
it's X+(1/X)=11
So, In the equation can't you take out the X as common factor?
OpenStudy (nirmalnema):
@nincompoop
OpenStudy (nirmalnema):
@Luigi0210
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OpenStudy (anonymous):
idk...
OpenStudy (nirmalnema):
its ok no problem..thanks for trying..
OpenStudy (luigi0210):
I think you need to solve for x in the first one, then once you find that you plug that value into the second..
OpenStudy (nirmalnema):
yaa but how.
OpenStudy (anonymous):
yea.. that's what I was trying to do but that X+(1/X)=11 is weird
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OpenStudy (anonymous):
It's the same variable so I tried to factor it out but I don't think that's how it works...
OpenStudy (luigi0210):
Multiply both sides by x, since it's an equation I think you can do that..
OpenStudy (luigi0210):
It'll be \(\Large x^2+1=11x\)
OpenStudy (luigi0210):
Nvm seems complicated xD
OpenStudy (anonymous):
Why multiply both sides, it'll make X^2 ... that will be one dirty sitaution
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OpenStudy (anonymous):
the question is not clear to me
OpenStudy (nirmalnema):
its same as done by @DanielK16 but x is so weird
OpenStudy (luigi0210):
@myininaya can help us ~
OpenStudy (anonymous):
I tried some equation calculators on the internet and they come out like quadratics with two answers...
myininaya (myininaya):
i'm confused
is it (x+1)/x=11
or x+1/x=11?
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OpenStudy (anonymous):
second one the 1/x is a fraction
OpenStudy (nirmalnema):
OpenStudy (anonymous):
Is this calculus? with derivatives>?
myininaya (myininaya):
so we have this:
\[x+\frac{1}{x}=11 ; x^2+\frac{1}{x^2}\]
OpenStudy (nirmalnema):
@aayushi.somani
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OpenStudy (anonymous):
correct @ myininaya
myininaya (myininaya):
my initial move is to square both sides of that equation first
myininaya (myininaya):
oh yes that will work perfectly and beautifully
myininaya (myininaya):
square both of sides of the equation x+1/x=11
to see magic
myininaya (myininaya):
This is only a 2-step problem.
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OpenStudy (anonymous):
Woah~~
OpenStudy (anonymous):
I saw magic
myininaya (myininaya):
lol
myininaya (myininaya):
@nirmalnema do you see?
OpenStudy (nirmalnema):
nops..!
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myininaya (myininaya):
do you know how to square (x+1/x)?
myininaya (myininaya):
\[(x+1/x)^2 =? \]
OpenStudy (nirmalnema):
yaa.
myininaya (myininaya):
Remember this means
\[(x+\frac{1}{x})(x+\frac{1}{x})\]
now multiply
OpenStudy (nirmalnema):
ohh thanks i got it..its 119
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myininaya (myininaya):
yep
myininaya (myininaya):
I thought to square both sides because the equation involved no items without squares
and what we wanted to find involved those items with squares
OpenStudy (nirmalnema):
ok..!!
myininaya (myininaya):
oops double negative
i hope you know what i mean
myininaya (myininaya):
involved items without squares*
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OpenStudy (nirmalnema):
yaa ....