What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)

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Question: What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)

Options:

Correct Answer: 5

Exam Year: 2022

Solution:

The sum of the roots is given by -b/a = 5/1 = 5.

What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)

What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)

Step 1: Identify the coefficients in the equation x² - 5x + 6 = 0. Here, a = 1, b = -5, and c = 6.
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: -(-5)/1.
Step 4: Simplify the expression: 5/1 = 5.
Step 5: Conclude that the sum of the roots is 5.

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