Match each equation below with its solution(s) \( \begin{array}{ll}\text { 1. } x^{2}=25 & \text { 2. } x^{2}=-25 \\ \begin{array}{ll}\text { 3. } x^{2}+5=0 & \text { 4. } x^{2}-5=0 \\ \text { 5. } x^{2}=-45 & \text { 6. } x^{2}=45 \\ \text { 7. } x-5=0 & \text { 8. } x+5=0\end{array} \\ \begin{array}{lll} \pm i \sqrt{5} & \pm 5 i & -5 \\ 5 & \pm 3 i \sqrt{5} & \pm 3 \sqrt{5}\end{array}\end{array} \)

Let's match each equation with its corresponding solutions: 1. \( x^{2} = 25 \) - Solutions: \( \pm 5 \) 2. \( x^{2} = -25 \) - Solutions: \( \pm 5i \) 3. \( x^{2} + 5 = 0 \) - Solutions: \( \pm i\sqrt{5} \) 4. \( x^{2} - 5 = 0 \) - Solutions: \( \pm\sqrt{5} \) 5. \( x^{2} = -45 \) - Solutions: \( \pm 3i\sqrt{5} \) 6. \( x^{2} = 45 \) - Solutions: \( \pm 3\sqrt{5} \) 7. \( x - 5 = 0 \) - Solution: \( 5 \) 8. \( x + 5 = 0 \) - Solution: \( -5 \) So, in summary: 1. \( x^{2} = 25 \) -> \( \pm 5 \) 2. \( x^{2} = -25 \) -> \( \pm 5i \) 3. \( x^{2} + 5 = 0 \) -> \( \pm i\sqrt{5} \) 4. \( x^{2} - 5 = 0 \) -> \( \pm\sqrt{5} \) 5. \( x^{2} = -45 \) -> \( \pm 3i\sqrt{5} \) 6. \( x^{2} = 45 \) -> \( \pm 3\sqrt{5} \) 7. \( x - 5 = 0 \) -> \( 5 \) 8. \( x + 5 = 0 \) -> \( -5 \)