Consider the functionx f(x) = x3-6x2+9x+k,where k is an integer

i If two roots of f(x)are equal to k where k belongs to (0,4)

ii If two roots of f(x)are equal to k where k belongs to (-4,0)

iii If f(x) = 0 has 3 distinct real roots the number of such value of k is 3 

iv If k belongs to N, f(x) = 0 has exactly one real root.

Which of the following statements are correct.

More than one answer may be correct.

In the first equation it is f(x) = x cube -  6x square + 9x+k where k is an integer