plz help..!!

- nirmalnema

plz help..!!

- katieb

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- nirmalnema

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

- nirmalnema

- anonymous

Whatchu mean?

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## More answers

- anonymous

X+1 divided by x=11???

- nirmalnema

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

- anonymous

Can you take out the X?

- anonymous

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

- nirmalnema

- nirmalnema

- anonymous

http://www.quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp#c=solve_stepssolveequation&v1=x%2B(1%2Fx)%3D11&v2=x

- anonymous

idk...

- nirmalnema

its ok no problem..thanks for trying..

- 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..

- nirmalnema

yaa but how.

- anonymous

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

- anonymous

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

- Luigi0210

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

- Luigi0210

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

- Luigi0210

Nvm seems complicated xD

- anonymous

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

- anonymous

the question is not clear to me

- nirmalnema

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

- Luigi0210

@myininaya can help us ~

- anonymous

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

- myininaya

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

- anonymous

second one the 1/x is a fraction

- nirmalnema

##### 1 Attachment

- anonymous

Is this calculus? with derivatives>?

- myininaya

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

- nirmalnema

@aayushi.somani

- anonymous

correct @ myininaya

- myininaya

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

- myininaya

oh yes that will work perfectly and beautifully

- myininaya

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

- myininaya

This is only a 2-step problem.

- anonymous

Woah~~

- anonymous

I saw magic

- myininaya

lol

- myininaya

@nirmalnema do you see?

- nirmalnema

nops..!

- myininaya

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

- myininaya

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

- nirmalnema

yaa.

- myininaya

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

- nirmalnema

ohh thanks i got it..its 119

- myininaya

yep

- 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

- nirmalnema

ok..!!

- myininaya

oops double negative
i hope you know what i mean

- myininaya

involved items without squares*

- nirmalnema

yaa ....

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