Find All Values of X Satisfying the Given Conditions $y _ { 1 } = ( x + 2 ) , y _ { 2 } = ( x - 7 )$

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = ( x + 2 ) , y _ { 2 } = ( x - 7 )$ , and $y _ { 1 } y _ { 2 } = 4$

A) $\frac { 5 \pm \sqrt { 97 } } { 2 }$
B) $\frac { - 5 \pm \sqrt { 97 } } { 2 }$
C) $\frac { 5 \pm \mathrm { i } \sqrt { 97 } } { 2 }$
D) $\frac { - 5 \pm i \sqrt { 97 } } { 2 }$