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#1 2008-07-21 04:44:34
- tony123
- Member
- Registered: 2007-08-03
- Posts: 229
Determine all real numbers
Determine all real numbers
that satisfy the following system ofequations.
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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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