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GAOKAO · Inequalities · Advanced

Inequalities: uvw / symmetric: for math, math, math: are they all math? math

AM-GM, quadratic inequalities.

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uvw / symmetric: for a+b+c=3a+b+c=3, ab+bc+ca=3ab+bc+ca=3, abc=1abc=1: are they all 11? 1/01/0

Hint and answer

Concept to use

Parameterized ranges.

Hint

Roots of (t−1)3(t-1)^3.

Answer

1

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