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Akdeniz University MO
1999 Akdeniz University MO
3
inequality
inequality
Source:
January 31, 2016
inequalities
Problem Statement
For all
x
>
2
x> \sqrt 2
x
>
2
,
y
>
2
y> \sqrt 2
y
>
2
numbers, prove that
x
4
−
x
3
y
+
x
2
y
2
−
x
y
3
+
y
4
>
x
2
+
y
2
x^4-x^3y+x^2y^2-xy^3+y^4>x^2+y^2
x
4
−
x
3
y
+
x
2
y
2
−
x
y
3
+
y
4
>
x
2
+
y
2
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