Problem

Source: Canada RepĂȘchage 2021/6 CMOQR

Tags: Canada, repechage, Diophantine equation, algebra



Show that $(w, x, y, z)=(0,0,0,0)$ is the only integer solution to the equation $$w^{2}+11 x^{2}-8 y^{2}-12 y z-10 z^{2}=0$$