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What is the solution to the equation x^2 + 2x - 8 = 0?

Practice Questions

Q1
What is the solution to the equation x^2 + 2x - 8 = 0?
  1. x = 2, -4
  2. x = -2, 4
  3. x = 4, -2
  4. x = -4, 2

Questions & Step-by-Step Solutions

What is the solution to the equation x^2 + 2x - 8 = 0?
  • 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 numbers 4 and -2 work 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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