If the equation `x^(2)+(a-6)x-1=0` is such that there are exactly two integers between the roots of it,then the number of integral values of 'a' is

If exactely two integers lie between the roots of equatin x ^(2) +ax+a+1=0. Then integral value (s) of 'a' is/are :

If exactely two integers lie between the roots of equatin x ^(2) +ax-1=0. Then integral value (s) of 'a' is/are :

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real roots, then the smallest integral value of |k| is:

For the equation |x^(2)| + |x| -6=0 , the roots are

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 the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation |sin x |^(2) + |sin x|+b =0 has two distinct roots in [0, pi][ then the number of integers in the range of b is equal to:

If 5x^2-2kx+1 < 0 has exactly one integral solution which is 1 then sum of all positive integral values of k.