What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)

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Question: What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)

Options:

Correct Answer: 2

Solution:

The sum of the roots is given by -b/a = 4/2 = 2.

What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)

What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)

Step 1: Identify the coefficients from the equation 2x² - 4x + 1 = 0. Here, a = 2, b = -4, and c = 1.
Step 2: Use the formula for the sum of the roots, which is -b/a.
Step 3: Substitute the value of b (-4) and a (2) into the formula: -(-4)/2.
Step 4: Simplify the expression: 4/2.
Step 5: Calculate the result: 4 divided by 2 equals 2.
Step 6: Conclude that the sum of the roots is 2.

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