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1989 OIM Problems/Problem 1

Revision as of 13:13, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all triples of real numbers that satisfy the system of equations: <cmath>x+y-z=-1</cmath> <cmath>x^2-k^2+z^2=1</cmath> <cmath>-x^3+y^3+z^3=-1</cmath> ==...")
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Problem

Find all triples of real numbers that satisfy the system of equations:

\[x+y-z=-1\] \[x^2-k^2+z^2=1\] \[-x^3+y^3+z^3=-1\]


Solution

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