# Gallery Problems Exercise

## Squaring and Cubing

**Work Time**

# Squaring and Cubing

- The equation ${x}^{2}=4$ has two solutions. Find them.
- Find a positive solution and a negative solution for ${x}^{2}<4$ if possible. If it is not possible, explain why.
- Find a positive solution and a negative solution for ${x}^{2}>4$ if possible. If it is not possible, explain why.
- Can you find the solution for ${x}^{2}=-9$? If it is not possible, explain why it does not have a solution.
- Find the solution(s) for ${x}^{3}=8$.
- Find a positive solution and a negative solution for ${x}^{3}<8$ if possible. If it is not possible, explain why.
- Does ${x}^{3}=-8$ have a solution? Explain.
- Find a positive solution and a negative solution for ${x}^{3}<-8$ if possible. If it is not possible, explain why.