Q1 of 51 Page 38

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

x (1 - x) – 2 = 0

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.


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