The given quadratic equation is –

a²b²x² –(4b^{4 –} 3a⁴) x – 12a²b² = 0

Discriminant D of the quadratic equation ax² + bx + c = 0 is given by –

D = b² – 4ac

Comparing the equation ax² + bx + c = 0 with given quadratic equation is a²b²x² –(4b⁴ –3a⁴) x – 12a²b² = 0,we get –

a = a²b² , b = –(4b^{4 –} 3a⁴) and, c = – 12a²b²

∴ The roots of the given quadratic equation is given by –

Thus, the roots of the given quadratic equation are (4b²/a²) and (– 3a²/b²).