Question

Solve the equation. If there are multiple solutions, separate any solutions with a comma. If the solutions are complex, use a+bi form. Do not use any decimal values. Simplify any radicals.

Answer 1

`\begin{gathered} (3n+2)^2=\text{ -192} \\ Solving\text{ n} \\ √((3n+2)^2)=√(-192) \\ 3n+2=\pm8√(3)i \\ 3n=\text{ -2}\pm\text{8}√(3)\text{i} \\ n=-(2)/(3)\pm(8√(3)i)/(3) \\ \\ The\text{ value of n is }-(2)/(3)\pm(8√(3)i)/(3) \end{gathered}`