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

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

The roots of the equation 4x^2-2sqrt5 x +1=0 are .

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.

If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i s2, then find the sum roots.

If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i s2, then find the sum roots.

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 real and distinct