What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)

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Question: What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)

Options:

Correct Answer: 10

Exam Year: 2023

Solution:

The product of the roots is given by c/a = 10/1 = 10.

What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)

What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)

Step 1: Identify the equation given, which is x² - 7x + 10 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax² + bx + c = 0.
Step 3: Identify the values of a, b, and c from the equation: a = 1, b = -7, c = 10.
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 = 10/1.
Step 6: Calculate the result: 10/1 = 10.
Step 7: Conclude that the product of the roots of the equation is 10.

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