For the Equation, Determine the Constants a and B That $$\frac { x } { ( x + 2 ) ( x - 2 ) } = \frac { A } { ( x + 2 ) } + \frac { B } { ( x - 2 ) }$$

question 423

Multiple Choice

For the equation, determine the constants A and B that make the equation an identity.
- $$\frac { x } { ( x + 2 ) ( x - 2 ) } = \frac { A } { ( x + 2 ) } + \frac { B } { ( x - 2 ) }$$

• A) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = 1\)
• B) \(A = 1 , B = \frac { 1 } { 2 }\)
• C) \(\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }\)
• D) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }\)

---

Definitions:

Despair

An intense feeling of hopelessness and inadequacy, often associated with major life disappointments or existential crises.

Sexual Desires

The natural or emotional urge that leads to sexual interest or attraction towards others.

Empty-nest Syndrome

A feeling of loneliness or depression that may occur among parents after their children have grown up and left home.

Androgens

Hormones that stimulate or control the development and maintenance of male characteristics in vertebrates by binding to androgen receptors.