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What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?

Practice Questions

Q1
What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?
  1. 2/3
  2. 1/3
  3. 1/2
  4. 1/6

Questions & Step-by-Step Solutions

What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?
  • Step 1: Identify the coefficients in the quadratic equation 3x^2 + 6x + 2 = 0. Here, a = 3, b = 6, and c = 2.
  • 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. So, we have c = 2 and a = 3.
  • Step 4: Calculate the product of the roots: 2 divided by 3 equals 2/3.
  • Step 5: Conclude that the product of the roots of the equation is 2/3.
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