Bounds for MM

5/10ExtremaSubstitutionalgebrainequality

Problem

Real numbers a,ba, b satisfy a2+ab+b2=3a^2 + ab + b^2 = 3, and M=a2+b2abM = a^2 + b^2 - ab. Find the minimum and maximum values of MM.

Answer

Solution

Difficulty5/10
TopicsExtrema, Substitution, algebra, inequality

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