Let be positive real numbers satisfying and .
If the maximum value of the expression is , find .
Given that are positive reals whose sum is , find the largest integer such that the inequality above always holds true.
If you think all positive integers make the inequality hold true, enter 0 as your answer.
If and are positive real numbers, find the minimum value of the expression above.
Bonus: Find the values of and when the expression above is minimized.
What is the minimum value of if the following 4 conditions are followed?
is a polynomial of degree .
All roots of are real.
All coefficients are positive.
The coefficient of is 1.
The product of roots of is -1.
Non-zero real numbers and are such that the minimum value of expression above can be expressed as , then what is ?