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nirmalnema
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\[(x+1/x =11 ) then find ( x^2+1/x^2)\]

nirmalnema
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@chmvijay

DanielK16
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Whatchu mean?

DanielK16
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X+1 divided by x=11???

nirmalnema
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x+ (1/x) mentioned in the que..!!

DanielK16
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Can you take out the X?

DanielK16
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it's X+(1/X)=11
So, In the equation can't you take out the X as common factor?

nirmalnema
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@nincompoop

nirmalnema
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@Luigi0210


DanielK16
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idk...

nirmalnema
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its ok no problem..thanks for trying..

Luigi0210
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I think you need to solve for x in the first one, then once you find that you plug that value into the second..

nirmalnema
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yaa but how.

DanielK16
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yea.. that's what I was trying to do but that X+(1/X)=11 is weird

DanielK16
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It's the same variable so I tried to factor it out but I don't think that's how it works...

Luigi0210
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Multiply both sides by x, since it's an equation I think you can do that..

Luigi0210
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It'll be \(\Large x^2+1=11x\)

Luigi0210
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Nvm seems complicated xD

DanielK16
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Why multiply both sides, it'll make X^2 ... that will be one dirty sitaution

dg2
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the question is not clear to me

nirmalnema
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its same as done by @DanielK16 but x is so weird

Luigi0210
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@myininaya can help us ~

DanielK16
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I tried some equation calculators on the internet and they come out like quadratics with two answers...

myininaya
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i'm confused
is it (x+1)/x=11
or x+1/x=11?

DanielK16
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second one the 1/x is a fraction

nirmalnema
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DanielK16
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Is this calculus? with derivatives>?

myininaya
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so we have this:
\[x+\frac{1}{x}=11 ; x^2+\frac{1}{x^2}\]

nirmalnema
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@aayushi.somani

DanielK16
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correct @ myininaya

myininaya
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my initial move is to square both sides of that equation first

myininaya
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oh yes that will work perfectly and beautifully

myininaya
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square both of sides of the equation x+1/x=11
to see magic

myininaya
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This is only a 2step problem.

DanielK16
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Woah~~

DanielK16
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I saw magic

myininaya
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lol

myininaya
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@nirmalnema do you see?

nirmalnema
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nops..!

myininaya
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do you know how to square (x+1/x)?

myininaya
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\[(x+1/x)^2 =? \]

nirmalnema
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yaa.

myininaya
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Remember this means
\[(x+\frac{1}{x})(x+\frac{1}{x})\]
now multiply

nirmalnema
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ohh thanks i got it..its 119

myininaya
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yep

myininaya
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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

nirmalnema
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ok..!!

myininaya
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oops double negative
i hope you know what i mean

myininaya
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involved items without squares*

nirmalnema
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yaa ....