What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014

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Question: What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014

Options:

Correct Answer: 6

Exam Year: 2014

Solution:

The product of the roots is c/a = 6/1 = 6.

What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014

What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014

Step 1: Identify the equation given, which is x^2 - 5x + 6 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c.
Step 3: Identify the values of a, b, and c from the equation: a = 1, b = -5, 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: c/a = 6/1.
Step 6: Calculate the result: 6/1 = 6.
Step 7: Conclude that the product of the roots is 6.

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