Mathematics
Without solving, comment upon the nature of roots of the following equation :
2x2 + 8x + 9 = 0
Quadratic Equations
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Answer
Comparing 2x2 + 8x + 9 = 0 with ax2 + bx + c = 0 we get,
a = 2, b = 8 and c = 9.
We know that,
Discriminant = D = b2 - 4ac = 82 - 4(2)(9)
= 64 - 72 = -8; which is negative.
Since, a, b and c are real numbers; a ≠ 0 and b2 - 4ac < 0
∴ The roots are imaginary.
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