Verified answer

Statement:

Determine the nature of roots and discriminant:

>>>>>>

2x² - 3x + 6 = 0

• a = 2, b = -3, c = 6
• b² - 4ac
• (-3)² - 4(2)(6)
• 9 - 4(12)
• 9 - 48
• -39

• Discriminant: -39
• Nature of roots: No real roots

>>>>>>

5x² = 2x - 4

• 5x² - 2x + 4 = 0
• a = 5, b = -2, c = 4
• b² - 4ac
• (-2)² - 4(5)(4)
• 4 - 4(20)
• 4 - 80
• -76

• Discriminant: -76
• Nature of roots: No real roots

Answer:

1. -39; no real roots

2. -76; no real roots

Step-by-step explanation: