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:

Margin of Error

An expression of the amount of random sampling error in survey results.

Population Mean

The population mean is the average value of all the items in a population.

Population Proportion

The ratio of members in a group to the total population who have a particular characteristic.

Registered Voters

Individuals who have completed the necessary procedures to be eligible to vote in an election.