What is the discriminant of the equation 3x² - 12x + 9 = 0? (2023)

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Question: What is the discriminant of the equation 3x² - 12x + 9 = 0? (2023)

Options:

Correct Answer: 0

Solution:

The discriminant is b² - 4ac = (-12)² - 4*3*9 = 0.

What is the discriminant of the equation 3x² - 12x + 9 = 0? (2023)

What is the discriminant of the equation 3x² - 12x + 9 = 0? (2023)

Step 1: Identify the coefficients a, b, and c from the equation 3x² - 12x + 9 = 0. Here, a = 3, b = -12, and c = 9.
Step 2: Write the formula for the discriminant, which is b² - 4ac.
Step 3: Substitute the values of a, b, and c into the formula: (-12)² - 4 * 3 * 9.
Step 4: Calculate (-12)², which is 144.
Step 5: Calculate 4 * 3 * 9, which is 108.
Step 6: Subtract the two results: 144 - 108 = 36.
Step 7: The discriminant is 36.

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