If $\mathrm{\alpha }, \mathrm{\beta }, \mathrm{\gamma }, \mathrm{\delta }$ are the roots of the equation ${\mathrm{x}}^4-{\mathrm{Kx}}^3+{\mathrm{Kx}}^2+\mathrm{Lx}+\mathrm{M}=0$ where K, L, and M are real numbers, then the minimum value of ${\mathrm{\alpha }}^2+{\mathrm{\beta }}^2+{\mathrm{\gamma }}^2+{\mathrm{\delta }}^2$ is