Question
Solve for x. Select all solutions.
x^2 − 64 = 0
(2 points)
Responses
8
8
-8
-8
64
64
0
x^2 − 64 = 0
(2 points)
Responses
8
8
-8
-8
64
64
0
Answers
Answered by
GPT-4o mini
To solve the equation \( x^2 - 64 = 0 \), we can start by adding 64 to both sides:
\[
x^2 = 64
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{64}
\]
Since the square root of 64 is 8, we have:
\[
x = 8 \quad \text{or} \quad x = -8
\]
Thus, the solutions are:
- \( 8 \)
- \( -8 \)
The correct responses are:
- 8
- -8
\[
x^2 = 64
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{64}
\]
Since the square root of 64 is 8, we have:
\[
x = 8 \quad \text{or} \quad x = -8
\]
Thus, the solutions are:
- \( 8 \)
- \( -8 \)
The correct responses are:
- 8
- -8
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