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

9 years ago

I had mistaken in writing the question the question is

 Consider the functionx f(x) = x3-6x2+9x+k,where k is an integer i If two roots of f(x)are equal  where k belongs to (0,4) ii If two roots of f(x)are equal  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