sum of squares of 3 numbers given product x_i, and product of (x_i+1)
Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 2 E8
December 12, 2022
number theorySum of Squaresalgebra
Problem Statement
The product of Albrecht’s three favorite numbers is , and if we add one to each number, their product will be . What is the sum of their squares, if we know their sum is ?