ANSWER
x = ± 5i
Step-by-step explanation
To solve this equation, first, we have to subtract 9 from both sides of the equation,

Then, divide both sides by 2,

The next step is to take the square root to both sides of the equation. Remember that i² = -1,
![\begin{gathered} \sqrt[]{x^2}=\pm\sqrt[]{-25} \\ x=\pm\sqrt[]{i^2\cdot25} \\ x=\pm5i \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wbnfp945mdbvvjxzyxea8embpuae5i9ong.png)
The solutions to this equation are both imaginary - and complementary, and they are x = 5i and x = -5i