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If the function f(x) = x 3 - 9x 2 +24x +c has 3 real and distinct roots p, q,and r, find the sum of all possible distinct values of [p] +[q]+[r] where [.] denote greatest integer function.

If the function f(x) = x- 9x2+24x +c has 3 real and distinct roots p, q,and r, find the sum of all possible distinct values of [p] +[q]+[r] where [.]  denote greatest integer function.

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
Dear student

The value of c can vary from (-20.05, -16)

These values can be obtained by considering 2 equal and one different root

Now you can try to solve the question

Regards
Vikas TU
14149 Points
2 years ago
Dear student 
There is very big explanation of this question , and can not be given out  here. 
Hope you will unerstand 
Good Luck 
Cheers 

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