Here another similar question but more complicated than former:

I would interesting how many solutions when all variables are real numbers. And difference with when all variables are complex numbers.

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- Mar 24th 2011, 11:55 PMhaediousSecond Question about Reversing Equations
Here another similar question but more complicated than former:

I would interesting how many solutions when all variables are real numbers. And difference with when all variables are complex numbers. - Mar 25th 2011, 06:08 AMOpalg
The solution in the complex case will be similar to the previous problem. Let , and for k=0,1,2,3,4 let

Then , and it follows that

Each has three complex cube roots, and there are five of them, giving a total of complex solutions. The number of real solutions is much more problematic. It's not clear to me whether there will be any at all. - Mar 25th 2011, 05:23 PMhaedious