What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?

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Question: What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?

Options:

Correct Answer: 3/2

Solution:

The sum of the roots is given by -b/a = 3/2.

What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?

What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?

Step 1: Identify the coefficients in the quadratic equation 2x^2 - 3x + 1 = 0. Here, a = 2, b = -3, 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 (-3) and a (2) into the formula: -(-3)/2.
Step 4: Simplify the expression: 3/2.
Step 5: Conclude that the sum of the roots is 3/2.

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