Question
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.
Answers
GPT-4o mini
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.
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.