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1990 IMO Longlists
53
Real solutions of the system of equations - ILL 1990 MON2
Real solutions of the system of equations - ILL 1990 MON2
Source:
September 18, 2010
function
algebra proposed
algebra
Problem Statement
Find the real solution(s) for the system of equations
{
x
3
+
y
3
=
1
x
5
+
y
5
=
1
\begin{cases}x^3+y^3 &=1\\x^5+y^5 &=1\end{cases}
{
x
3
+
y
3
x
5
+
y
5
=
1
=
1
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