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What are the roots of the equation x² - 2x - 8 = 0? (2022)

Practice Questions

Q1
What are the roots of the equation x² - 2x - 8 = 0? (2022)
  1. -2 and 4
  2. 2 and -4
  3. 4 and -2
  4. 0 and 8

Questions & Step-by-Step Solutions

What are the roots of the equation x² - 2x - 8 = 0? (2022)
  • Step 1: Start with the equation x² - 2x - 8 = 0.
  • Step 2: Look for two numbers that multiply to -8 (the constant term) and add to -2 (the coefficient of x).
  • Step 3: The two numbers that work are 4 and -2 because 4 * -2 = -8 and 4 + (-2) = 2.
  • Step 4: Rewrite the equation using these numbers: (x - 4)(x + 2) = 0.
  • Step 5: Set each factor equal to zero: x - 4 = 0 and x + 2 = 0.
  • Step 6: Solve for x in each equation: x = 4 and x = -2.
  • Step 7: The roots of the equation are 4 and -2.
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