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2
Solve $x^4-12x^2+x^2y^2+30\leq 0$ in Z
Solve $x^4-12x^2+x^2y^2+30\leq 0$ in Z
Source: Finland 2011, Problem 2
May 5, 2013
inequalities
algebra unsolved
algebra
Problem Statement
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.
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