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Question
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x2 – 3x + 4 = 0
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Solution
The equation x2 – 3x + 4 = 0 has no real roots.
D = b2 – 4ac
= (–3)2 – 4(1)(4)
= 9 – 16 < 0
Hence, the roots are imaginary.
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