What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?

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Question: What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?

Options:

Correct Answer: 2

Solution:

The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a. Here, it is -(-4)/2 = 2.

What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?

What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?

Step 1: Identify the coefficients a, b, and c from the quadratic equation 2x^2 - 4x + 1 = 0. Here, a = 2, b = -4, and c = 1.
Step 2: Use the formula for the sum of the roots of a quadratic equation, 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) becomes 4, so you have 4/2.
Step 5: Calculate 4/2, which equals 2.
Step 6: Conclude that the sum of the roots of the equation is 2.

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