Factor and solve z^2 -17z+52=0

z^2 -17z+52=0

(z )(z ) ( -13)( -4)=0

(z-13) (z-4) = 0

Solve:

(z-13)=0

z-13+13=0+13

z=13

Solve:

(z-4) = 0

z-4+4 = 0+4

z=4