MathDB

2015 BMT Spring Analysis 3

Source:

January 20, 2022

algebrasystem of equationsnumber theory

Problem Statement

Find all integer solutions to \begin{align*} x^2+2y^2+3z^2&=36,\\ 3x^2+2y^2+z^2&=84,\\ xy+xz+yz&=-7. \end{align*}