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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