What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020

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Question: What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020)

Options:

Correct Answer: 0

Exam Year: 2020

Solution:

The discriminant D = b² - 4ac = (-12)² - 4*3*12 = 144 - 144 = 0.

What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020)

What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020)

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

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