Solve the Equation Using the Quadratic Formula $$3 x ^ { 2 } + x - 5 = 0$$

question 382

Multiple Choice

Solve the equation using the quadratic formula.
- $$3 x ^ { 2 } + x - 5 = 0$$

• A) \(\left\{ \frac { 1 - \sqrt { 61 } } { 6 } , \frac { 1 + \sqrt { 61 } } { 6 } \right\}\)
• B) \(\left\{ \frac { - 1 - \sqrt { 61 } } { 2 } , \frac { - 1 + \sqrt { 61 } } { 2 } \right\}\)
• C) \(\varnothing\)
• D) \(\left\{ \frac { - 1 - \sqrt { 61 } } { 6 } , \frac { - 1 + \sqrt { 61 } } { 6 } \right\}\)

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Definitions:

Ego State

Represents the different parts of our personality that become activated in response to different situations, based on transactional analysis theory.

Chronic Conflict

Long-standing disagreements or battles between groups or individuals that are resistant to resolution.

Adaptive

Adaptive refers to the ability or quality of adjusting to new conditions or environment, often used in psychology to describe behaviors or strategies that are beneficial for coping with stress or change.

Transactional Analysis

A psychological theory and therapy focusing on the interactions or 'transactions' between individuals and the psychological processes behind them.