Find all the value of `m` for which the equation `sin^2x-(m-3)sinx+m=0` has real roots.

Find all the value of m for which the equation sin^(2)x-(m-3)sin x+m=0 has real roots.

Find the values of 'm' for which the equation x^4-(m-3)x^2+m =0 has Four real roots

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

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

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

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

The value of m for which the equation x^(2)-x+m^(2)=0 has no real roots is given as

Find the value of m for which the quadratic equation , 3x^(2) + 10x + (m-3) = 0 has roots which are reciproal to each other.

Find the values of m for which the equation 3x^(2)+mx+2=0 has equal roots. Also, find the roots of the given equation.

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