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2020 Greece Junior Math Olympiad
1
(x+2)^4/x^3 - (x+2)^2/2x >= - x/16 (Greece Junior 2020 p1)
(x+2)^4/x^3 - (x+2)^2/2x >= - x/16 (Greece Junior 2020 p1)
Source:
March 16, 2020
inequalities
algebra
Problem Statement
Solve in real numbers
(
x
+
2
)
4
x
3
−
(
x
+
2
)
2
2
x
≥
−
x
16
\frac{(x+2)^4}{x^3}-\frac{(x+2)^2}{2x}\ge - \frac{x}{16}
x
3
(
x
+
2
)
4
−
2
x
(
x
+
2
)
2
≥
−
16
x
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