Find all complex solutions of the following equation. $$ (r-6)^{2}=-5 $$ The solution set is $$ \} $$. (Type an exact answer, using radicals as needed. Express complex numbers of $$ i $$. Use a comma to separate answers as needed.)

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1. Start with the equation:
   $$
   (r-6)^2 = -5
   $$

2. Take the square root of both sides. Remember that when you take the square root of both sides, you must consider both the positive and negative roots:
   $$
   r-6 = \pm\sqrt{-5}
   $$

3. Simplify the square root of the negative number. Recall that $$\sqrt{-5} = i\sqrt{5}$$, where $$i$$ is the imaginary unit:
   $$
   r-6 = \pm i\sqrt{5}
   $$

4. Solve for $$r$$ by adding 6 to both sides:
   $$
   r = 6 \pm i\sqrt{5}
   $$

5. The solutions can be written as:
   $$
   \{6+i\sqrt{5}, 6-i\sqrt{5}\}
   $$
The solutions are $$ r = 6 + i\sqrt{5} $$ and $$ r = 6 - i\sqrt{5} $$.

Find all complex solutions of the following equation. \( (r-6)^{2}=-5 \) The solution set is \( \} \). (Type an exact answer, using radicals as needed. Express complex numbers of \( i \). Use a comma to separate answers as needed.)

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