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Question
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x(1 – x) – 2 = 0
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Solution
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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