What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)

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Question: What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)

Options:

Correct Answer: 3

Solution:

The product of the roots is given by c/a = 9/3 = 3.

What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)

What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)

Step 1: Identify the coefficients in the quadratic equation 3x² - 12x + 9 = 0. Here, a = 3, b = -12, and c = 9.
Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 3: Substitute the values of c and a into the formula. Here, c = 9 and a = 3.
Step 4: Calculate the product of the roots: 9 divided by 3 equals 3.
Step 5: Conclude that the product of the roots of the equation is 3.

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