Verified answer

Question:

Which of the following quadratic has a negative discriminant?

Proving:

>>>>>>>>>>>

A. 6x² - 9x + 12 = 0

• a = 6, b = -9, c = 12
• b² - 4ac
• (-9)² - 4(6)(12)
• 81 - 4(72)
• 81 - 288
• -207 ✔

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B. 5n² + 7n - 51 = 0

• a = 5, b = 7, c = -51
• b² - 4ac
• (7)² - 4(5)(-51)
• 49 - 4(-255)
• 49 + 1020
• 1069 ❌

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C. 4m² - 64 = 0

• a = 4, b = 0, c = -64
• b² - 4ac
• (0)² - 4(4)(-64)
• 0 - 4(-256)
• 0 + 1024
• 1024 ❌

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D. v² - 3v - 10 = 0

• a = 1, b = -3, c = -10
• b² - 4ac
• (-3)² - 4(1)(-10)
• 9 - 4(-10)
• 9 + 40
• 49 ❌

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• A. 6x² - 9x + 12 = 0