Perform the Indicated Operation $\frac { 7 + 2 i } { 7 - 2 i }$

question 319

Multiple Choice

Perform the indicated operation. Write the result in the form a + bi.
- $\frac { 7 + 2 i } { 7 - 2 i }$

• A) \(\frac { 53 } { 45 } - \frac { 28 } { 45 } \mathrm { i }\)
• B) \(1 + \frac { 28 } { 45 } \mathrm { i }\)
• C) \(1 + \frac { 28 } { 53 } \mathrm { i }\)
• D) \(\frac { 45 } { 53 } + \frac { 28 } { 53 } \mathrm { i }\)

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Definitions:

Aversion Therapy

A type of behavioral therapy that involves repeated association of a problematic behavior with an unpleasant stimulus to reduce the occurrence of the behavior.

Behavioural Therapy

A therapeutic approach focusing on altering unwanted behaviors through various techniques like conditioning.

Smoking Habit

The regular practice of smoking tobacco, often leading to nicotine addiction and associated health risks.

Aversion Therapy

A type of behavioral therapy that involves pairing an unwanted behavior with discomfort to condition an aversion to the behavior.