What are the solutions to the quadratic equation x2 – 16 = 0?

Question

x = 2 and x = –2
x = 4 and x = –4
x = 8 and x = –8
x = 16 and x = –16

Answer 1

To solve the quadratic equation \( x^2 - 16 = 0 \), you can first rewrite it in a more standard form:

\[ x^2 = 16 \]

Next, take the square root of both sides:

\[ x = \pm 4 \]

This means the solutions are:

\[ x = 4 \quad \text{and} \quad x = -4 \]

Thus, the correct answer is:

x = 4 and x = -4.