Math Problem Statement

a+b+c=1 then find the value of 1/a+1/b+1/c for lowest value

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Arithmetic Mean-Harmonic Mean Inequality

Formulas

a + b + c = 1
AM-HM Inequality: (a+b+c)/3 >= 3/(1/a + 1/b + 1/c)

Theorems

Arithmetic Mean-Harmonic Mean Inequality

Suitable Grade Level

Grades 10-12