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What is the value of x in the equation x^2 - 2x - 8 = 0?

Practice Questions

Q1
What is the value of x in the equation x^2 - 2x - 8 = 0?
  1. -2
  2. 2
  3. 4
  4. -4

Questions & Step-by-Step Solutions

What is the value of x in the equation x^2 - 2x - 8 = 0?
Correct Answer: 4 or -2
  • Step 1: Start with the equation x^2 - 2x - 8 = 0.
  • Step 2: Look for two numbers that multiply to -8 (the last number) and add to -2 (the middle number).
  • 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 the first equation: x - 4 = 0 gives x = 4.
  • Step 7: Solve the second equation: x + 2 = 0 gives x = -2.
  • Step 8: The solutions are x = 4 and x = -2.
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