NeuroEducation

A Minimum by AM–GM

Difficulty: Medium · Topics: Algebra, Inequalities, AM-GM

O‘rta arifmetik va o‘rta geometrik orqali eng kichik qiymat

x, y, z are positive real numbers with xyz=5. Find the minimum value of

2x^2y+4y^2z+xz^2.

x, y, z — musbat haqiqiy sonlar va xyz=5. Quyidagi ifodaning eng kichik qiymatini toping:

2x^2y+4y^2z+xz^2.