Let `alpha and beta ` be two real roots of the equation `x^2 - ax + a-4=0` if `alpha < 0 and beta > 2,` then number of positive integral values of 'a' is/are

Let alpha and beta be two real roots of the equation 5cot^2x-3cotx-1=0 , then cot^2 (alpha+beta) =

Let alpha and beta be two real roots of the equation 5 cot ^(2) x- 3 cot x-1=0, then cot ^(2)(alpha + beta)=

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha,beta(alpha lt beta) are the real roots of equation x^2-(k+4)x+k^2-12=0 such theta 4 in (alpha,beta) , then the number of integral value of k is equal to

If alpha and beta (alpha lt beta) are two different real roots of the equation ax^2 + bx+c= 0 , then

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alpha,beta(alpha