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National and Regional Contests
Finland Contests
Finnish National High School Mathematics Competition
2011 Finnish National High School Mathematics Competition
2
2
Part of
2011 Finnish National High School Mathematics Competition
Problems
(1)
Solve $x^4-12x^2+x^2y^2+30\leq 0$ in Z
Source: Finland 2011, Problem 2
5/5/2013
Find all integers
x
x
x
and
y
y
y
satisfying the inequality
x
4
−
12
x
2
+
x
2
y
2
+
30
≤
0.
x^4-12x^2+x^2y^2+30\leq 0.
x
4
−
12
x
2
+
x
2
y
2
+
30
≤
0.
inequalities
algebra unsolved
algebra