For what values of `a inR,` the quadratic equation `(a^2+1)x -(a+l)x+( a^2-a-2)=0` will have roots of opposite sign.

Find values of a for which the quadratic equation 3x^2+2(a^2+1)x+(a^2-3a+2)=0 possesses roots of opposite sign.

The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses roots of opposite sign. Then

The equation x^(2)+ax-a^(2)-1=0 will have roots of opposite signs if

The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesse roots of opposite sign . Then -

The real values of 'a' for which the quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots of opposite sign is given by