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What is the product of the roots of the equation x² - 10x + 24 = 0? (2021)

Practice Questions

Q1
What is the product of the roots of the equation x² - 10x + 24 = 0? (2021)
  1. 24
  2. 10
  3. 16
  4. 14

Questions & Step-by-Step Solutions

What is the product of the roots of the equation x² - 10x + 24 = 0? (2021)
  • Step 1: Identify the equation given, which is x² - 10x + 24 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form ax² + bx + c = 0.
  • Step 3: Identify the values of a, b, and c from the equation: a = 1, b = -10, c = 24.
  • 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: c/a = 24/1.
  • Step 6: Calculate the result: 24/1 = 24.
  • Step 7: Conclude that the product of the roots of the equation is 24.
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