Answer:
x=1, or 6, or 4 (D)
Explanation:
x³-11x²+34x-24=0 solve by factorizing
(x-1)(x-6)(x-4)=0
x-1=0
x=1
if x-6=0
x=6
x-4=0
x=4
check : x³-11x²+34x-24=0
x=1 : (1)³-11(1)²+34(1)-24=0
1-11+34-24=-35+35=0 (correct)
x=6 : 6³-11(6)²+34(6)-24=0 (correct)
x=4 : 4³-11(4)²+34(4)-24=0 (correct)