Find All Real and Complex Solutions of the Quadratic Equation $( p - 3 ) ^ { 2 } - 243 = 0$

Multiple Choice

Find all real and complex solutions of the quadratic equation $( p - 3 ) ^ { 2 } - 243 = 0$ .

A) $- 9 \pm 3 \sqrt { 3 }$
B) $- 3 \pm 3 \sqrt { 3 } i$
C) $- 3 \pm 9 \sqrt { 3 } i$
D) $9 \pm 3 \sqrt { 3 }$
E) $3 \pm 9 \sqrt { 3 }$