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 January 29th, 2013, 09:49 PM #1 Newbie   Joined: Jan 2013 Posts: 13 Thanks: 0 Solve the system of equations Solve the system of equations: $\left\{\begin{matrix} 2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^2}\end{mat rix}\right$
January 30th, 2013, 01:53 AM   #2
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Re: Solve the system of equations

Hi !

See attachment. The second part is only a sketch of demo.
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 Graph.JPG (38.0 KB, 74 views) Solutions.JPG (88.7 KB, 74 views)

 January 30th, 2013, 02:17 AM #3 Newbie   Joined: Jan 2013 Posts: 13 Thanks: 0 Re: Solve the system of equations I don't know the "obvious" which you say.?
January 30th, 2013, 04:52 AM   #4
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Re: Solve the system of equations

Quote:
 Originally Posted by roberthun I don't know the "obvious" which you say.?
It is obvious that, in case of x=y or x=-y , both equations become identical. So the system of two equations reduces to only one equation easy to solve.

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