Solve the Equation by Completing the Square $$2 x ^ { 2 } - \frac { 10 } { 3 } x + \frac { 2 } { 3 } = 0$$

question 31

Multiple Choice

Solve the equation by completing the square.
- $$2 x ^ { 2 } - \frac { 10 } { 3 } x + \frac { 2 } { 3 } = 0$$

• A) \[\frac { - 5 \pm \sqrt { 13 } } { 6 }\]
• B) \[\frac { 5 \pm \sqrt { 13 } } { 6 }\]
• C) \[\frac { 10 \pm \sqrt { 13 } } { 6 }\]
• D) \[\frac { - 10 \pm \sqrt { 13 } } { 12 }\]

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Definitions:

DSM

The Diagnostic and Statistical Manual of Mental Disorders, a manual published by the American Psychiatric Association that classifies and defines mental disorders.

Bipolar Disorder

A mental health condition characterized by extreme mood swings, including emotional highs (mania or hypomania) and lows (depression).

Big Five Personality

A theory that outlines five broad dimensions of human personality traits: Openness, Conscientiousness, Extraversion, Agreeableness, and Neuroticism.

Personality Disorder

A type of mental disorder characterized by enduring maladaptive patterns of behavior, cognition, and inner experience, exhibited across many contexts.