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

The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses 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 possess roots of opposite sign is given by:

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

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 set of real values of a for which the quadratic equation ax^(2)+(2a-3)x+5=0 possesses roots of opposite signs is given by