The number of real values of α for which the system of equationsx+3y+5z=αx5x+y+3z=αy3x+5y+z=αzhas infinite number of solutions is
If the system of equations x+αy+α2z=1, αx+y+αz=−1, α2x+αy+z=1 has infinitely many solutions then 1+α+α2=