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What is the solution to the equation x^2 - 4 = 0?

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Question: What is the solution to the equation x^2 - 4 = 0?

Options:

  1. -2, 2
  2. 0, 4
  3. 2, 4
  4. 1, 3

Correct Answer: -2, 2

Solution: 

Factoring gives (x - 2)(x + 2) = 0, leading to solutions x = 2 and x = -2.

What is the solution to the equation x^2 - 4 = 0?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to 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.
  • 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 gives x = 2.
  • Step 6: Solve the second equation: x + 2 = 0 gives x = -2.
  • Step 7: The solutions to the equation are x = 2 and x = -2.
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