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

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

Find the value of a for which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0 assumes the least value.

Find the value of a for which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0 assumes the least value.

The sum of roots of the equation x^2−∣2x−3∣−4=0 is

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

The sum of the real roots of the equation x^(5)-5x^(4)+9x^(3)-9x^(2)+5x-1=0 is

Find the roots of the equations. Q. 5x^(2)-x+4=0 .

Find the value of m so that the roots of the equation (4-m)x^(2)+(2m+4)x+(8m+1)=0 may be equal.

Roots of the equation (x^2-4x+3)+lamda(x^2-6x+8)=0 , lamda in R will be

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are equal