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

question 156

Multiple Choice

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

• A) \(\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } , \frac { - 5 + 3 \sqrt { 5 } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } \right\}\)
• C) \(\{ - 5 - 3 \sqrt { 5 } , - 5 + 3 \sqrt { 5 } \}\)
• D) \(\left\{ \frac { 5 + 3 \sqrt { 5 } } { 2 } \right\}\)

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Definitions:

Central Limit Theorem

A statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.

Sample Mean

The average value of a sample subset of a larger population, used as an estimate of the population mean.

Point Estimate

A single value estimate for a population parameter derived from a sample.

Population Mean

The average value of a population's characteristics.