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.
No concepts available.