Solve $3 x ^ { 2 } - 4 x = - 2$

question 122

Multiple Choice

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

• A) \(\left\{ \frac { 2 \pm \sqrt { 3 } } { 3 } \right\}\)
• B) \(\left\{ - \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}\)
• C) \(\left\{ \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}\)
• D) \(\left\{ \frac { 2 \pm \sqrt { 2 } } { 3 } \right\}\)

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Definitions:

Random Sample

A subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Large-Sample Z

A statistical test used to infer that the means of two populations are equal when the sample size is large and the population variance is known.

Major Defects

Significant problems or imperfections observed in products or process outputs that typically require correction or significantly affect usability.

Hypotheses

Proposed explanations made on the basis of limited evidence as a starting point for further investigation, often framed as predictions to be tested by scientific experiments.