What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (201

Practice Questions

Q1
What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)
  1. 6
  2. 5
  3. 4
  4. 3

Questions & Step-by-Step Solutions

What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)
  • Step 1: Identify the quadratic equation given, which is x² - 5x + 6 = 0.
  • Step 2: Recognize the standard form of a quadratic equation, which is ax² + bx + c = 0.
  • Step 3: Identify the values of 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 c/a.
  • Step 5: Substitute the values of c and a into the formula: product = 6/1.
  • Step 6: Calculate the product: 6/1 = 6.
  • Step 7: Conclude that the product of the roots of the equation is 6.
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