Solve the Equation by Completing the Square $$4 \mathrm { x } ^ { 2 } + 1 = 3 \mathrm { x }$$

question 68

Multiple Choice

Solve the equation by completing the square.
- $$4 \mathrm { x } ^ { 2 } + 1 = 3 \mathrm { x }$$

• A) \(\left\{ \frac { 3 - i \sqrt { 7 } } { 8 } , \frac { - 3 + i \sqrt { 7 } } { 8 } \right\}\)
• B) \(\left\{ \frac { 3 - i \sqrt { 7 } } { 8 } , \frac { 3 + i \sqrt { 7 } } { 8 } \right\}\)
• C) \(\left\{ \frac { - 3 - \mathrm { i } \sqrt { 7 } } { 8 } , \frac { - 3 + \mathrm { i } \sqrt { 7 } } { 8 } \right\}\)
• D) \(\left\{ \frac { - 3 - \mathrm { i } \sqrt { 7 } } { 8 } , \frac { 3 + \mathrm { i } \sqrt { 7 } } { 8 } \right\}\)

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Definitions:

Ethological Theory

A perspective in psychology that emphasizes the genetic and biological bases of behavior, as observed in the natural environment.

Behaviors

The actions or reactions of an organism, often in response to external stimuli, which can be observed and measured externally.

Appetitive Action Patterns

Sequences of behavior that occur in response to signals indicating the availability of a desired goal or reward.

Innate Releasing Mechanisms

Neurological structures that are triggered by specific stimuli, leading to an instinctive behavior in animals.