Solve x^2=81 using square roots. Explain or show your work.(1 point)

Question

Solve  x^2=81 using square roots.  Explain or show your work.(1 point)

GPT-4o mini · Answer

To solve the equation $ x^2 = 81 $ using square roots, follow these steps: 1. **Identify the equation**: We have $ x^2 = 81 $. 2. **Take the square root of both sides**: When we take the square root of both sides, we need to remember that there are both positive and negative roots. Thus, we write: $$ x = \pm \sqrt{81} $$ 3. **Calculate the square root**: The square root of 81 is 9. Therefore: $$ x = \pm 9 $$ 4. **Write the final answers**: This gives us two solutions: $$ x = 9 \quad \text{and} \quad x = -9 $$ In summary, the solutions to the equation $ x^2 = 81 $ are $ x = 9 $ and $ x = -9 $.