Solve for x select all solutions

X^2 - 64 = 0
A. 8
B. 0
C. 64
D. -8

1 answer

To solve the equation \( x^2 - 64 = 0 \), we can start by isolating \( x^2 \):

\[ x^2 = 64 \]

Next, we take the square root of both sides:

\[ x = \pm \sqrt{64} \]

Since \( \sqrt{64} = 8 \), we have:

\[ x = 8 \quad \text{or} \quad x = -8 \]

Thus, the solutions are:

  • \( x = 8 \)
  • \( x = -8 \)

From the options provided:

  • A. 8 (is a solution)
  • B. 0 (is not a solution)
  • C. 64 (is not a solution)
  • D. -8 (is a solution)

Therefore, the correct answers are:

A. 8 and D. -8