Solve the Equation by Completing the Square $$5 x ^ { 2 } - 2 x - 1 = 0$$

question 135

Multiple Choice

Solve the equation by completing the square.
- $$5 x ^ { 2 } - 2 x - 1 = 0$$

• A) \(\left\{ \frac { 1 - \sqrt { 6 } } { 5 } , \frac { 1 + \sqrt { 6 } } { 5 } \right\}\)
• B) \(\left\{ \frac { 5 - \sqrt { 6 } } { 25 } , \frac { 5 + \sqrt { 6 } } { 25 } \right\}\)
• C) \(\left\{ - 1 , \frac { 7 } { 5 } \right\}\)
• D) \(\left\{ \frac { - 1 - \sqrt { 6 } } { 5 } , \frac { - 1 + \sqrt { 6 } } { 5 } \right\}\)

---

Definitions:

Client

An individual or organization that engages the professional services or advice of another individual or company.

Engaged Learner

A student or participant actively involved in the learning process, demonstrating interest, and taking initiative.

Good Working Relationship

A professional relationship characterized by mutual respect, communication, and cooperation between colleagues.

Medical Leave

Official time off from work or duties, approved due to health-related reasons, ensuring job security during illness or recovery.