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What is the product of the roots of the equation 3x^2 - 12x + 9 = 0?

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Question: What is the product of the roots of the equation 3x^2 - 12x + 9 = 0?

Options:

  1. 1
  2. 3
  3. 4
  4. 9

Correct Answer: 4

Solution: 

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

What is the product of the roots of the equation 3x^2 - 12x + 9 = 0?

Practice Questions

Q1
What is the product of the roots of the equation 3x^2 - 12x + 9 = 0?
  1. 1
  2. 3
  3. 4
  4. 9

Questions & Step-by-Step Solutions

What is the product of the roots of the equation 3x^2 - 12x + 9 = 0?
Correct Answer: 3
  • Step 1: Identify the coefficients in the quadratic equation 3x^2 - 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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