Solve the equation by finding square roots.xsquaredminus64equals0Question content area bottomPart 1Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.A.xequalsenter your response here ​(Simplify your answer. Use a comma to separate answers as​ needed.)B.The solution is not a real number.

Answer 1

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

1. Add 64 to both sides: \[ x^2 = 64 \]

2. Now, we take the square root of both sides. Remember that taking the square root can yield both a positive and a negative solution: \[ x = \pm \sqrt{64} \]

3. Since \( \sqrt{64} = 8 \), we have: \[ x = 8 \quad \text{or} \quad x = -8 \]

Thus, the solutions are: \[ x = 8, -8 \]

So, for Part 1, the correct choice is A. The solutions are: \[ x = 8, -8 \] You can write this as \( x = 8, -8 \) in your response box.