Question

State whether the following quadratic equations have two distinct real roots. Justify your answer.

x(1 – x) – 2 = 0

Answer 1

The equation x(1 – x) – 2 = 0 has no real roots.

Simplifying the above equation,

x² – x + 2 = 0

D = b² – 4ac

= (-1)² – 4(1)(2)

= 1 – 8 < 0

Hence, the roots are imaginary.