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Question
Without solving comment upon the nature of roots of each of the following equation:
2x2 + 8x + 9 = 0
Solution
2x2 + 8x + 9 = 0
a = 2, b = 8 and c = 9
∴ Discriminant` = "b"^2 – 4"ac"`
= `(8)^2 – 4(2)(9)`
= 64 – 72
= − 8 = a negative value
Since D < 0, then the equation has imaginary roots.
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