The product of the roots of the quadratic equation x^2 + 5x + 6 = 0 is: (2021)

Practice Questions

Q1
The product of the roots of the quadratic equation x^2 + 5x + 6 = 0 is: (2021)
  1. 6
  2. 5
  3. 1
  4. 0

Questions & Step-by-Step Solutions

The product of the roots of the quadratic equation x^2 + 5x + 6 = 0 is: (2021)
  • Step 1: Identify the quadratic equation. The given equation is x^2 + 5x + 6 = 0.
  • Step 2: Recognize the standard form of a quadratic equation, which is ax^2 + bx + c = 0.
  • Step 3: Identify the coefficients a, b, and c from the equation. Here, a = 1, b = 5, and c = 6.
  • Step 4: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
  • Step 5: Substitute the values of c and a into the formula. This gives us 6/1.
  • Step 6: Calculate the result of 6/1, which equals 6.
  • Step 7: Conclude that the product of the roots of the quadratic equation is 6.
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