What is the discriminant of the equation 4x² - 12x + 9 = 0? (2019)

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Question: What is the discriminant of the equation 4x² - 12x + 9 = 0? (2019)

Options:

Correct Answer: 0

Exam Year: 2019

Solution:

The discriminant is b² - 4ac = (-12)² - 4*4*9 = 144 - 144 = 0.

What is the discriminant of the equation 4x² - 12x + 9 = 0? (2019)

What is the discriminant of the equation 4x² - 12x + 9 = 0? (2019)

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

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