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Homework Statement
Solve the system of equations for x, y, and z.
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[tex]4x^4+8y^4+z^4=9[/tex]
[tex]x^8+y^8+z^8=1 [/tex]
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Homework Equations
The Attempt at a Solution
Both equations can be rearranged and factored (difference of squares). I've tried it and it doesn't seem to help solve the problem. Any hints? Thanks :)
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