Question

If ad ≠ bc, then prove that the equation: (a² + b²)x² + 2(ac + bd)x + (c² + d²) = 0 has no real roots.

Assertion(A): The roots of the quadratic equation x² + 2x + 2 = 0 are imaginary Reason(R): If discriminant D = b² – 4ac < 0 then the roots of quadratic equation ax² + bx + c = 0 are imaginary.