Absolute sum of integral values of `m` for which the equation `(m^2+2m+1)x^2-2(m+1)x+(m+1)^4-9=0` has rational roots is

The number of integral values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no real roots is

The number of interal values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no ral roots is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

Find the value of m for which the equation (m+4)x^(2)+(m+1)x+1=0 has real and equal roots.

Find the values of m for which the equation x^2 -2 (5 + 2m) x+ 3 (7+ 10m) =0 has equal roots.

Prove that the integral values of m for which the roots of the equation mx^(2)+ (2m-1)x+(m-2)=0 are rational are given by the expression n(n+1) , where n is integer.

Find the set of real values of 'm' for which the equation ((x)/(1+x^(2)))^(2)-(m-3)((x)/(1+x^(2)))+m=0 has real roots.

The integral value of m for which the quadratic equation (2m-3)x^2-4x+2m-3=0 has both the roots negative is given by

The integral value of m for which the quadratic equation (2m-3)x^2-4x+2m-3=0 has both the roots negative is given by