Solve the Equation $$4 z ^ { 4 } + 68 z ^ { 2 } + 225 = 0$$

question 261

Multiple Choice

Solve the equation.
- $$4 z ^ { 4 } + 68 z ^ { 2 } + 225 = 0$$

• A) \(\left\{ - \frac { 5 \sqrt { 2 } } { 2 } i , - \frac { 3 \sqrt { 2 } } { 2 } i , \frac { 3 \sqrt { 2 } } { 2 } i , \frac { 5 \sqrt { 2 } } { 2 } i \right\}\)
• B) \(\left\{ - \frac { 5 \sqrt { 2 } } { 2 } , - \frac { 3 \sqrt { 2 } } { 2 } , \frac { 3 \sqrt { 2 } } { 2 } , \frac { 5 \sqrt { 2 } } { 2 } \right\}\)
• C) \(\left\{ - \frac { 25 } { 2 } , - \frac { 9 } { 2 } \right\}\)
• D) \(\left\{ \frac { 9 } { 2 } , \frac { 25 } { 2 } \right\}\)

Determine an expression for the nth term from a sequence pattern.

Understand the relationship between sequences and their graphical representations.

Calculate values of sequences involving arithmetic and geometric patterns.

Use sigma notation for representing sums of sequences.

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Definitions:

Interdependence

A condition where individuals or groups are mutually reliant on each other, often seen in social, economic, and ecological contexts.

Social-Cognitive Theorists

Psychologists who study how people learn by observing others and how they interpret and model their behaviors based on their beliefs.

Appropriate Circumstances

Suitable or fitting conditions that meet the needs of the situation or fulfill the requirements of a specific context.

Aggressive Behavior

Any physical or verbal action intended to hurt or destroy, whether directed towards oneself or others.