Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + 5 x - 5 = 0$$

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } + 5 x - 5 = 0$$

A) $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } , \frac { - 5 + 3 \sqrt { 5 } } { 2 } \right\}$
B) $\left\{ \frac { 5 + 3 \sqrt { 5 } } { 2 } \right\}$
C) $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } \right\}$
D) $\{ - 5 - 3 \sqrt { 5 } , - 5 + 3 \sqrt { 5 } \}$