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Mathematics 14 Online
OpenStudy (anonymous):

solve

OpenStudy (anonymous):

Solve what lol

OpenStudy (anonymous):

he's not done yet putting the problem i guess

OpenStudy (anonymous):

|dw:1365609789531:dw|

OpenStudy (anonymous):

I know lol ;D

OpenStudy (anonymous):

You got this @Lynncake

OpenStudy (anonymous):

lol, i thought you;re here too @MyCharms

OpenStudy (anonymous):

Yea.. lol

OpenStudy (anonymous):

\[x=(2+\sqrt{3})^3\]Your first step is to make this into \[x^3\]

OpenStudy (anonymous):

there I gave you best response LOL

OpenStudy (anonymous):

Bye ;D

OpenStudy (anonymous):

lol @MyCharms

OpenStudy (anonymous):

Haha ok

OpenStudy (anonymous):

I did respond @msingh

OpenStudy (anonymous):

i m not talking abt u

OpenStudy (anonymous):

ohhh ok, so did you make x to be x^3?

OpenStudy (anonymous):

i think if i make x^3..it would beget lengthy what i think satatement is wrong

OpenStudy (anonymous):

Or you could expand \[(2+\sqrt{3})^3\]a bit tedious

OpenStudy (anonymous):

hmmm

OpenStudy (anonymous):

here: \[x=(2+\sqrt{3})^3\]\[x^3=((2+\sqrt{3})^3)^3\]\[x^3=(2+\sqrt{3})^9\]

OpenStudy (anonymous):

get that @msingh Now ready for the second one?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

We now know that \[x^3=(2+\sqrt{3})^9\]Since we are finding \[x^3+\frac{ 1 }{ x^3 }\]We have to find \[\frac{ 1 }{ x^3 }\]which is just the reciprocal of x^3. Now \[x^3=(2+\sqrt{3})^9 \rightarrow \frac{ 1 }{ x^3 }=\frac{ 1 }{ (2+\sqrt{3})^9 }\]You can now combine those two in order to get what you are finding. Get it @msingh ?

OpenStudy (anonymous):

yes @Lynncake thank u

OpenStudy (anonymous):

you're welcome :)

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