Math Problem Statement

a,b,c trois réel tel que a²+b²+c²=2. Montrez que a+b+c - abc≤2

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Quadratic Forms

Formulas

a² + b² + c² = 2
a + b + c - abc ≤ 2

Theorems

Symmetry in inequalities
Optimization under constraints

Suitable Grade Level

Grades 10-12