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Without solving, comment upon the nature of roots of the following equation: 2x2 + 8x + 9 = 0 - Mathematics

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प्रश्न

Without solving, comment upon the nature of roots of the following equation:

2x2 + 8x + 9 = 0

योग

उत्तर

2x2 + 8x + 9 = 0

a = 2, b = 8 and c = 9

∴ Discriminant = b2 – 4ac

= (8)2 – 4(2)(9)

= 64 – 72

= – 8

= a negative value

Since D < 0, then equation has no real roots.

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