Question 24If the distinct nonzero numbers $x(y-z),$ $y(z-x),$ $z(x-y)$ form a geometric progression with common ratio $r,$ then $r$ satisfies the equation$r^2+r+1=0$$r^2-r+1=0$$r^4+r^2-1=0$$(r+1)^4+r=0$$(r-1)^4+r=0$