The correct options are
A real
C equal
For equation ax2+bx+c=0, expression b2−4ac is called discriminant and is denoted by D.
If D>0, then the equation has real and unequal roots.
If D=0, then the equation has real and equal roots.
If D<0, then the equation has imaginary and unequal roots.
Since it is given that D = 0, the roots must be real and equal.