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Akdeniz University MO
1998 Akdeniz University MO
5
system of equations
system of equations
Source:
January 30, 2016
system of equations
number theory
algebra
Problem Statement
Solve the equation system for real numbers:
x
1
+
x
2
=
x
3
2
x_1+x_2=x_3^2
x
1
+
x
2
=
x
3
2
x
2
+
x
3
=
x
4
2
x_2+x_3=x_4^2
x
2
+
x
3
=
x
4
2
x
3
+
x
4
=
x
1
2
x_3+x_4=x_1^2
x
3
+
x
4
=
x
1
2
x
4
+
x
1
=
x
2
2
x_4+x_1=x_2^2
x
4
+
x
1
=
x
2
2
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