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

Find the value of a if the equation 2x^2-(a+1)x+(a-1)=0 has equal 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

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 the value of a which the equation 4x^2-2x+a =0 has two roots lying in the interval (-1,1)

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

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

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

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