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Mathematics 15 Online
OpenStudy (nirmalnema):

plz help..!!

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..!!

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

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

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

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?

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

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.

OpenStudy (anonymous):

Woah~~

OpenStudy (anonymous):

I saw magic

myininaya (myininaya):

lol

myininaya (myininaya):

@nirmalnema do you see?

OpenStudy (nirmalnema):

nops..!

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

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*

OpenStudy (nirmalnema):

yaa ....

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