Perform the Indicated Operation $$\frac { 6 } { x ^ { 2 } - x - 30 } + \frac { 5 } { x ^ { 2 } - 11 x + 30 }$$

question 133

Multiple Choice

Perform the indicated operation. If possible, simplify your answer.
- $$\frac { 6 } { x ^ { 2 } - x - 30 } + \frac { 5 } { x ^ { 2 } - 11 x + 30 }$$

• A) \(\frac { 11 x - 5 } { ( x + 6 ) ( x + 5 ) ( x - 5 ) }\)
• B) \(\frac { 11 x - 5 } { ( x - 6 ) ( x + 5 ) ( x - 5 ) }\)
• C) \(\frac { 9 x - 5 } { ( x - 6 ) ( x + 5 ) ( x - 5 ) }\)
• D) \(\frac { 9 x - 5 } { ( x + 6 ) ( x + 5 ) ( x - 5 ) }\)

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Definitions:

Lithium

A chemical element used as medication to treat mood disorders, including bipolar disorder.

Pharyngitis

An inflammatory condition of the throat (pharynx) causing soreness, often due to an infection.

Mydriasis

Dilation of the pupils of the eyes, which can be caused by disease, trauma, or the use of certain drugs.

Lithium Level

The concentration of lithium in the bloodstream, monitored in patients treated with lithium for bipolar disorder to prevent toxicity.