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Which of the following is a solution to the equation x^2 - 4 = 0?

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Question: Which of the following is a solution to the equation x^2 - 4 = 0?

Options:

  1. -2
  2. 0
  3. 2
  4. Both -2 and 2

Correct Answer: Both -2 and 2

Solution: 

The equation factors to (x - 2)(x + 2) = 0, giving solutions x = -2 and x = 2.

Which of the following is a solution to the equation x^2 - 4 = 0?

Practice Questions

Q1
Which of the following is a solution to the equation x^2 - 4 = 0?
  1. -2
  2. 0
  3. 2
  4. Both -2 and 2

Questions & Step-by-Step Solutions

Which of the following is a solution to the equation x^2 - 4 = 0?
Correct Answer: x = -2 and x = 2
  • 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 to find x = 2.
  • Step 6: Solve the second equation x + 2 = 0 to find x = -2.
  • Step 7: The solutions to the equation are x = 2 and x = -2.
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