Verified answer

Nature of Roots

3x² = 8x

• a = 3, b = 8, c = 0
• b² - 4ac
• (-8)² - 4(3)(0)
• 64 - 4(0)
• 64 - 0
• 64

• Discriminant: 64
• Nature of roots: Two real roots

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4x² + x + 6 = 0

• a = 4, b = 1, c = 6
• b² - 4ac
• 1² - 4(4)(6)
• 1 - 4(24)
• 1 - 96
• -97

• Discriminant: -97
• Nature of roots: Two imaginary roots

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