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Determine the greatest value of the following expression

max

New member
Mar 2, 2013
4
Given that the equation $ax^3-x^2+ax-b=0$, ($a\neq 0,\,b\neq 0$) has three positive real roots.

Determine the greatest value of the following expression:

\(\displaystyle P=\frac{11a^2-3\sqrt3ab-\frac{1}{3}}{9b-10\left ( \sqrt3a-1 \right )}\)
 
Last edited by a moderator:

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
From what course is this problem taken?

What progress have you made so far?
 

max

New member
Mar 2, 2013
4
simple, i love inequality!(h)
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
I asked from what course the problem is taken, so that I could determine if this sub-forum is the best choice.

I asked what you progress so far has been so that our helpers will know just where you are stuck, and be able to provide meaningful help.

Your response addresses neither question.
 

max

New member
Mar 2, 2013
4
Thank
But I don't have imagine with my problem
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Was this problem assigned to you by a teacher/professor in a class?

If so, what is the name of the class?