What is the sum of all the integers such that the following equation has no real roots:
is uniformly chosen from the interval . Let be the probability that the quadratic has both roots between -2 and 4. What is the value of ?
Details and assumptions
Greatest Integer Function: refers to the greatest integer less than or equal to . For example and .
Find the sum of integral values of such that has exactly one real solution and .
If is one of the non-real seventh roots of unity, then find the discriminant of the monic quadratic equation with the roots and
Details and Assumptions:
Provided that two roots of the above equation are real and distinct for find the set