The quadratic equation has
The discriminant value of a quadratic equation ax2 + bx + c = 0, a ≠ 0 is given by,
D = b2 - 4ac = 0
i. If D = b2 - 4ac > 0, then its roots are distinct and real.
ii. If D = b2 - 4ac = 0, then its roots are real and equal.
iii. If D = b2 - 4ac < 0, then its roots are imaginary.
Given,
∴ D = b2 - 4ac = 0
= -3 < 0
Hence, the roots of the quadratic equation are imaginary.