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What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?

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Question: What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?

Options:

  1. 8
  2. 6
  3. 4
  4. 2

Correct Answer: 8

Solution:

Step 1: Use the formula c/a. Step 2: Here, c = 8 and a = 1. Step 3: Product of roots = 8.

What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?

Practice Questions

Q1
What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?
  1. 8
  2. 6
  3. 4
  4. 2

Questions & Step-by-Step Solutions

What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?
  • Step 1: Identify the coefficients of the quadratic equation. The equation is x^2 + 6x + 8 = 0. Here, a = 1, b = 6, and c = 8.
  • Step 2: Use the formula for the product of the roots of a quadratic equation, which is c/a.
  • Step 3: Substitute the values of c and a into the formula. Here, c = 8 and a = 1.
  • Step 4: Calculate the product of the roots: 8 / 1 = 8.
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