Differential Calculus> Function...

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 3iv 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

pankaj gupta , 12 Years ago

Grade 12th Pass

1 Answers

pankaj gupta

Last Activity: 12 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