If `(1+m^(2))x^(2)-2(1+3m) x + (1 + 8m) = 0`. Then numbers of values (s) of m for which this equation has no solution

Determine the value(s) of m for which the equation x^(2)+m(4x+m-1)+2=0 has real roots.

Consider the quadratic equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1}. The set of values of m such that the given quadratic equation has at least one root is negative is

Consider the quadratic equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1} The set of values of m such that the given quadratic equation has both roots are positive is

Find the values of 'm' for which the equation x^4-(m-3)x^2+m =0 has No real roots

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

Let A={x|x^2 + (m - 1)x -2(m +1)=0, x in R}, {B = {x|(m-1)x^2 + mx + 1 = 0, x in R} Number of values of m such that AuuB has exactly 3 distinct elements, is

If the equation (1+m)x^(2)-2(1+3m)x+(1-8m)=0 where m epsilonR~{-1} , has atleast one root is negative, then