MathDB

1

Part of 2004 Pan African

Problems(2)

Existence of m and n

Source: Pan African 2004

10/4/2005
Do there exist positive integers mm and nn such that: 3n2+3n+7=m3 3n^2+3n+7=m^3
number theorymodular arithmetic
Find three real numbers

Source: Pan African 2004

10/4/2005
Three real numbers satisfy the following statements: (1) the square of their sum equals to the sum their squares. (2) the product of the first two numbers is equal to the square of the third number. Find these numbers.