Solve the Following Quadratic Equation $( x - 4 ) ^ { 2 } = - 64$

Multiple Choice

Solve the following quadratic equation. $( x - 4 ) ^ { 2 } = - 64$

A) $\{ 8 i , - 8 i \}$
B) $\{ 8 i + 4 , - 8 i + 4 \}$
C) $\{ 4 i + 8 , - 4 i + 8 \}$
D) $\{ 8 i + 4 \}$
E) $\{ 12 , - 12 \}$