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

3 years ago

Share

Answers : (1)

                                        

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



3 years ago

Post Your Answer

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
what is meant by ccontunity of functions
 
 
Ans: Continuity of a function at a given point means that it should exist at the given point & left hand limit & right hand limit should exist & equal to each other &...
  img
Jitender Singh 7 months ago
Find the minimum and maximum values of y in 4x^2+12xy+10y^2-4y+3?
 
 
Dear student, Thanks for your post. The question is a bit unclear, I am assuming you want to know the minimum and maximum values of the whole function (as it makes sense) Let f(x) = 4x 2 +...
  img
Shobhit Varshney 4 months ago
Question is attached in image ….jitendra Sir explain this solution. I will follow your method but I want this too In = dn-1/dxn-1 [xn-1 + nxn-1 log x ] In = (n-1) dn-2 / dx n-2 xn-2 + n dn-1...
 
 
Hello student, Please find answer to your question …........(1) Put this in equation (1), we have
  img
Jitender Singh 6 months ago
 
Jitendra Sir Can u explain me second step ....
 
milind 6 months ago
 
Second of answer ….please explain …..please
 
milind 6 months ago
What is the integration of 7^xe^x dx
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 7 months ago
Sum 2+4+9+17+28+..........
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 7 months ago
what is root x divided by x
 
 
Q – √x / X its same as you divide √2 / 2 = 1/ √2 => √x / x = 1/√x but if you want full derivation here it is since we know that √x = x ½ ------------------------------------- 1 and x = x 1...
 
Ashwin 3 months ago
View all Questions »