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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 10341 Points
one year 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
one year 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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