What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (201

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Question: What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)

Options:

Correct Answer: 6

Exam Year: 2019

Solution:

The product of the roots of ax² + bx + c = 0 is c/a. Here, product = 6/1 = 6.

What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)

What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)

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

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