6 Determine the Most Efficient Method to Use When Solving $7 x ^ { 2 } = - 12 x - 3$

question 252

Multiple Choice

6 Determine the Most Efficient Method to Use When Solving a Quadratic Equation
- $7 x ^ { 2 } = - 12 x - 3$

• A) \(\left\{ \frac { - 6 - \sqrt { 15 } } { 7 } , \frac { - 6 + \sqrt { 15 } } { 7 } \right\}\)
• B) \(\left\{ \frac { - 6 - \sqrt { 15 } } { 14 } , \frac { - 6 + \sqrt { 15 } } { 14 } \right\}\)
• C) \(\left\{ \frac { - 12 - \sqrt { 15 } } { 7 } , \frac { - 12 + \sqrt { 15 } } { 7 } \right\}\)
• D) \(\left\{ \frac { - 6 - \sqrt { 57 } } { 7 } , \frac { - 6 + \sqrt { 57 } } { 7 } \right\}\)

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Definitions:

Bootstrap Confidence Interval

A statistical technique for estimating the uncertainty of a parameter by resampling with replacement.

Percentile Method

A statistical calculation used to determine the value below which a given percentage of observations in a data set falls.

Resamples

The process of drawing repeated samples from observed data, with the aim of estimating a population parameter.

Standard Error

A statistical measure that quantifies the variability or dispersion of a sample mean relative to the true population mean.