Make an Appropriate Substitution and Solve the Equation $$- \frac { 5 } { a ^ { 2 } } + \frac { 6 } { a } + 1 = 0$$

question 168

Multiple Choice

Make an appropriate substitution and solve the equation.
- $$- \frac { 5 } { a ^ { 2 } } + \frac { 6 } { a } + 1 = 0$$

• A) \(\{ - 3 + \sqrt { 14 } , - 3 - \sqrt { 14 } \}\)
• B) \(\left\{ \frac { - 3 + \sqrt { 14 } } { 5 } , \frac { - 3 - \sqrt { 14 } } { 5 } \right\}\)
• C) \(\{ 3 + \sqrt { 14 } , 3 - \sqrt { 14 } \}\)
• D) \(\left\{ \frac { 3 + \sqrt { 14 } } { 5 } , \frac { 3 - \sqrt { 14 } } { 5 } \right\}\)

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Definitions:

Sigmund Freud

A neurologist from Austria who established psychoanalysis as a therapeutic technique for addressing mental disorders through conversational interactions between a psychoanalyst and their patient.

Counterconditioning

A method used in behavioral therapy where a positive reaction is substituted for a negative or undesirable response to a particular stimulus.

Ivan Pavlov

A Russian physiologist known for his research in classical conditioning, demonstrating how animals learn to associate a neutral stimulus with a significant one, leading to a learned response.

Carl Rogers

Carl Rogers was an influential American psychologist and one of the founders of the humanistic approach to psychology.