Find the X-Intercepts (If Any) for the Graph of the Quadratic

question 116

Multiple Choice

Find the x-intercepts (if any) for the graph of the quadratic function.
- $$5 x ^ { 2 } + 12 x + 3 = 0$$
Give your answers in exact form.

• A) \(\left( \frac { - 6 \pm \sqrt { 51 } } { 5 } , 0 \right)\)
• B) \(\left( \frac { - 6 \pm \sqrt { 21 } } { 10 } , 0 \right)\)
• C) \(\left( \frac { - 6 \pm \sqrt { 21 } } { 5 } , 0 \right)\)
• D) \(\left( \frac { - 12 \pm \sqrt { 21 } } { 5 } , 0 \right)\)

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Definitions:

T-Distribution

A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and the standard deviation is unknown.

Student T-Distributed

Pertaining to a probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

Sampled Population

The subset of a larger population that is selected for the purpose of a scientific study or statistical analysis.

Degrees Of Freedom

A concept in statistics referring to the number of independent values or quantities which can vary in the computation of a statistic, often related to the number of observations in a sample minus the number of restrictions or parameters.