Solve the Equation by Completing the Square $$3 x ^ { 2 } - 7 x = 1$$

question 214

Multiple Choice

Solve the equation by completing the square.
- $$3 x ^ { 2 } - 7 x = 1$$

• A) \(\left\{ - \frac { 7 } { 6 } \pm \frac { \sqrt { 61 } } { 6 } \mathrm { i } \right\}\)
• B) \(\left\{ \frac { 7 } { 6 } \pm \frac { \sqrt { 61 } } { 6 } \mathrm { i } \right\}\)
• C) \(\left\{ \frac { - 7 \pm \sqrt { 61 } } { 6 } \right\}\)
• D) \(\left\{ \frac { 7 \pm \sqrt { 61 } } { 6 } \right\}\)

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Definitions:

Falsifiable

A characteristic of a statement, hypothesis, or theory that denotes it can be proven false by observation or experimentation.

Heuristic

A method or approach that enables a person to discover or learn something for themselves, often using experiences or observations rather than rigid rules.

Psychoanalytic

Pertaining to a psychological theory and therapy that emphasizes the role of unconscious factors in human behavior.

Psychiatrist

A medical doctor specializing in diagnosing, treating, and preventing mental health disorders, often through medication management, psychotherapy, or other interventions.