System of equations

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January 27th 2013, 11:39 PM
leezangqe

System of equations

Solve the system of equations:
$\left\{\begin{matrix}<br /> 2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^2}\end{mat rix}\right.$
@@Help me my latex??
January 28th 2013, 12:13 AM
kylehk

Re: System of equations

Quote:

Originally Posted by leezangqe

Solve the system of equations:
$\left\{\begin{matrix}<br /> 2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^}\end{matr ix}\right.$
@@Help me my latex??

Hi Leezangqe, are both equations correctly posted? Cause $\sqrt{\frac{3}{2}\times y^{2}}$ in the first equation could be $\sqrt{\frac{3}{2}}y$ .
January 28th 2013, 03:35 AM
leezangqe

Re: System of equations

@kylehk
No, it is
$\sqrt{\frac{3}{2}\times y^{2}}$ = $\sqrt{\frac{3}{2}}\left | y \right |$
January 29th 2013, 08:07 PM
leezangqe

Re: System of equations

Who can help me solve this problem? affordable it will be resolved by the inequality?
January 31st 2013, 08:48 AM
earthboy

Re: System of equations

Quote:

Originally Posted by leezangqe

Solve the system of equations:
$\left\{\begin{matrix}<br /> 2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^2}\end{mat rix}\right.$
@@Help me my latex??

first thoughts:
As the equations are cyclic, maybe it would help to solve $2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}}x$ first, because my best guess is that it will work for $x=y$ .
Would be great if anybody solves this equation...(Thinking)
January 31st 2013, 09:06 AM
JJacquelin

Re: System of equations

Have a look at :
Solve the system of equations

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