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#1 2008-07-22 02:44:34

tony123
Full Member

Offline

Determine all real numbers

Determine all real numbers

that satisfy the following system of
equations.







 

#2 2008-07-22 03:24:48

JaneFairfax
Legendary Member

Offline

Re: Determine all real numbers

Rewrite the second, third and fourth equations as





Now multiply these equations by
,
and
respectively.





Now notice that





Hence we have



Thus we get these two inconsistent equations




Solve the first cubic for a and use it to find d.

Last edited by JaneFairfax (2008-07-22 08:26:45)


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