What is the sum of the roots of the equation x^2 - 4x + 3 = 0?

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Question: What is the sum of the roots of the equation x^2 - 4x + 3 = 0?

Options:

Correct Answer: 4

Solution:

The sum of the roots is given by -b/a = 4/1 = 4.

What is the sum of the roots of the equation x^2 - 4x + 3 = 0?

What is the sum of the roots of the equation x^2 - 4x + 3 = 0?

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

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