This is a problem from Regional Mathematics Olympiad, RMO 2015 Chennai Region based on the Minimal value problem. Try to solve it.

**Problem: Minimal value problem**

Find the minimum value of and and

** Discussion:**

Applying Arithmetic Mean – Geometric Mean Inequality (since x is positive), we have:

Hence the minimum value is 6.

## Chatuspathi:

**Paper:**RMO 2015 (Chennai)**What is this topic:**Inequality**What are some of the associated concepts:**Arithmetic and geometric Inequality**Where can learn these topics:**Cheenta**Book Suggestions:**Inequality by Little Mathematical Library, Secrets of Inequality

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