Solve for x in the equation x^2 - 4 = 0.

Practice Questions

Q1
Solve for x in the equation x^2 - 4 = 0.
  1. x = 2, -2
  2. x = 4, -4
  3. x = 0
  4. x = 1, -1

Questions & Step-by-Step Solutions

Solve for x in the equation x^2 - 4 = 0.
  • Step 1: Start with the equation x^2 - 4 = 0.
  • Step 2: Recognize that x^2 - 4 is a difference of squares, which can be factored.
  • Step 3: Factor the equation into (x - 2)(x + 2) = 0.
  • Step 4: Set each factor equal to zero: x - 2 = 0 and x + 2 = 0.
  • Step 5: Solve the first equation x - 2 = 0 by adding 2 to both sides, giving x = 2.
  • Step 6: Solve the second equation x + 2 = 0 by subtracting 2 from both sides, giving x = -2.
  • Step 7: The solutions are x = 2 and x = -2.
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