Math Problem Statement
a+b+c=1 then find the value of 1/a+1/b+1/c for lowest value
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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
Related Recommendation
Solve the Algebraic System to Find \( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \)
Solving Harmonic Mean System of Equations
Minimizing the Expression a + 1 / b(a-b)
Find the Minimum Value of \( \frac{32}{a} + \frac{128}{b} + ab \) Using AM-GM Inequality
Minimizing P = a^2 / (b + 1) + b^2 / (a + 1) under a^2 + b^2 = 2