What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)

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Question: What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)

Options:

Correct Answer: 0

Exam Year: 2022

Solution:

The discriminant is b² - 4ac = (-2)² - 4*1*1 = 0.

What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)

What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)

Step 1: Identify the coefficients a, b, and c from the equation x² - 2x + 1 = 0. Here, a = 1, b = -2, and c = 1.
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: (-2)² - 4*1*1.
Step 4: Calculate (-2)², which equals 4.
Step 5: Calculate 4*1*1, which equals 4.
Step 6: Subtract the two results: 4 - 4 = 0.
Step 7: Conclude that the value of the discriminant is 0.

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