What is the product of the roots of the equation x² - 4x + 3 = 0? (2021)

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Question: What is the product of the roots of the equation x² - 4x + 3 = 0? (2021)

Options:

Correct Answer: 3

Exam Year: 2021

Solution:

The product of the roots is given by c/a = 3/1 = 3.

What is the product of the roots of the equation x² - 4x + 3 = 0? (2021)

What is the product of the roots of the equation x² - 4x + 3 = 0? (2021)

Step 1: Identify the equation given, which is x² - 4x + 3 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax² + bx + c = 0.
Step 3: Identify the coefficients: a = 1, b = -4, c = 3.
Step 4: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 5: Substitute the values of c and a into the formula: c/a = 3/1.
Step 6: Calculate the result: 3/1 = 3.
Step 7: Conclude that the product of the roots is 3.

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