Find All Values of X Satisfying the Given Conditions $y _ { 1 } = \frac { 1 } { x + 5 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 2 } { x ^ { 2 } + 8 x + 15 }$

question 270

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = \frac { 1 } { x + 5 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 2 } { x ^ { 2 } + 8 x + 15 }$ , and the sum of $y _ { 1 }$ and 2 times $y _ { 2 }$ is $y 3$ .

• A) \(\{ 0 \}\)
• B) \(\{ - 5 \}\)
• C) \(\{ 3 \}\)
• D) \(\varnothing\)

---

Definitions:

Bipolar Symptoms

Refer to the range of signs associated with bipolar disorder, including severe mood swings that range from depressive lows to manic highs.

Anticonvulsant Drug

A medication used to prevent or treat seizures in conditions like epilepsy.

Antidepressants

Medications used to treat depression and other conditions by balancing brain chemicals that affect mood and emotions.

Adolescents

The transitional stage of human development that occurs between childhood and adulthood, usually considered to start with puberty.