(Solved): The auxiliary equation for the given differential equation has complex roots. Find a general soluti ...

The auxiliary equation for the given differential equation has complex roots. Find a general solution. \[ y^{\prime \prime}-4 y^{\prime}+40 y=0 \] What are the roots of the auxiliary equation? The roots are (Type an exact answer, using radicals and \( i \) as needed. Use a comma to separate answers as needed.)