MathDB

4

Part of 2013 Argentina National Olympiad

Problems(1)

Inequality with 3 variables

Source: Argentine National Olympiad 2013, Level 3, Problem 4

8/31/2014
Let x≥5,y≥6,z≥7x\geq 5, y\geq 6, z\geq 7 such that x2+y2+z2≥125x^2+y^2+z^2\geq 125. Find the minimum value of x+y+zx+y+z.
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