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#1 2008-07-21 04:44:34

tony123
Member
Registered: 2007-08-03
Posts: 189

Determine all real numbers

Determine all real numbers

that satisfy the following system of
equations.

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#2 2008-07-21 05:24:48

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

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 (2008-07-21 10:26:45)


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