Question

What are the solution(s) of x^2 - 4 = 0?

A. x = 2
B. x = -2
C. x = 2 and x = -2
D. None of the above

Answer 1

The solutions to the equation x² - 4 = 0 are x = 2 and x = -2.

Step-by-step explanation:

The equation x² - 4 = 0 is a quadratic equation. To find the solutions, we set the equation equal to 0 and then solve for x.

Step 1: Add 4 to both sides of the equation.

x² - 4 + 4 = 0 + 4

x² = 4

Step 2: Take the square root of both sides of the equation.

√(x²) = √4

x = ±2

Therefore, the solutions to the equation x² - 4 = 0 are x = 2 and x = -2. So, the correct answer is C. x = 2 and x = -2.