Find the value of m for which the equation `5x^2-4x+2+m(4x^2-2x-1)=0 ` the sum of the rots is 6.

Find the value of m for which the equation 5x^2-4x+2+m(4x^2-2x-1)=0 the product of the roots is 2

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

Find the values of k for which 5x^(2)-4x+2+k(4x^(2)-2x-1)=0 has real and equal 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

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 value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

Find the values of x for which (x^(2)-4x+3)/(x^(2)+x+1)<0

Find the integral values of a for which the equation x^(4)-(a^(2)-5a+6)x^(2)-(a^(2)-3a+2)=0 has only real roots