Find All Values of X Satisfying the Given Conditions $y _ { 1 } = \frac { 1 } { x + 15 } , y _ { 2 } = \frac { 1 } { x }$

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = \frac { 1 } { x + 15 } , y _ { 2 } = \frac { 1 } { x }$ , and $y _ { 1 } + y _ { 2 } = \frac { 1 } { 5 }$

A) $\frac { - 5 \pm 5 \sqrt { 13 } } { 2 }$
B) $\frac { - 25 \pm 5 \sqrt { 13 } } { 2 }$
C) $\frac { 25 \pm 5 \sqrt { 13 } } { 2 }$
D) $\frac { 5 \pm 5 \sqrt { 13 } } { 2 }$