Inhomogeneous minimum of indefinite quadratic forms in five variables of type (3,2) or (2,3): A conjecture of watson

LetQ(x,y,z,t,u) be a real indefinite quadratic form in five variables of type (3,2) or (2,3) and determinantD≠0. The given any real numbersx ₀,y ₀,z ₀,t ₀,u ₀ we can find integersx,y,z,t,u, satisfying $$|Q(x + x_0 ,y + y_0 ,z + z_0 ,t + t_0 ,u + u_0 )| leqslant (frac{1}{4}|D|)^{{raise0.7exhbox{$1$} !mathord{left/ {vphantom {1 5}}right.kern-nulldelimiterspace}!lower0.7exhbox{$5$}}} .$$ All the cases when the sign of equality holds are also determined.