Find the values of a if `x^2-2(a-1)x+(2a+1)=0` has positive roots.

The number of integral values of a for which x^(2) - (a-1) x+3 = 0 has both roots positive and x^(2) + 3x + 6 - a = 0 has both roots negative is

Find value of k if (k^(2)-1)x^(2)+4x+1=0 has one root =-1

Find the values of k for which 4x^(2)-2(k+1)x+(k+4)=0 has real and equal roots.

For what integral values of a, the equation x^(2)-x(1-a)-(a+2)=0 has integral roots. Find the roots.

The least integral value of a'a' for which the equation x^(2)+2(a-1)x+(2a+1)=0 has both the roots positive,is

Find the value of C, if the equation x^2 - 2 (C+1) x+C^2 =0 has real and equal root

Total number of integral values of 'a' so that x^(2)-(a+1)x+a-1=0 has roots, is equal to :

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?