TST Tajikistan 2018 Day 1 Problem 3
Source:
July 10, 2018
algebraTSTAZE IzHO TST
Problem Statement
Problem 3. Suppose that the equation x^3-ax^2+bx-a=0 has three positive real roots (b>0). Find the minimum value of the expression:
(b-a)(b^3+3a^3)
Source: