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

question 166

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) \(\frac { 5 \pm 5 \sqrt { 13 } } { 2 }\)

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