Solve the Equation $5 y ^ { 2 } - 5 y - 2 = 0$

question 5

Multiple Choice

Solve the equation. $5 y ^ { 2 } - 5 y - 2 = 0$

• A) \(y = \frac { 5 \pm \sqrt { 65 } } { 10 }\)
• B) \(y = \frac { 5 \pm \sqrt { 67 } } { 20 }\)
• C) \(y = \frac { - 5 \pm \sqrt { 65 } } { 5 }\)
• D) \(y = 5 \pm \sqrt { 65 }\)
• E) \(y = \frac { \sqrt { 67 } \pm 5 } { 10 }\)

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Definitions:

Self-Corrective

Able to identify and correct one's own errors or weaknesses without external intervention.

Empirical Reasoning

A method of thinking that involves making conclusions based on direct, observational evidence.

Scientific Research Team

A group of professionals working together to conduct experiments, gather data, and analyze results to advance knowledge in a particular field of science.

Empirical

Based on observation or experience rather than theory or pure logic.