Solve the Equation Using the Quadratic Formula $$4 x ^ { 2 } = - 10 x - 3$$

question 406

Multiple Choice

Solve the equation using the quadratic formula.
- $$4 x ^ { 2 } = - 10 x - 3$$

• A) \(\left\{ \frac { - 5 - \sqrt { 13 } } { 4 } , \frac { - 5 + \sqrt { 13 } } { 4 } \right\}\)
• B) \(\left\{ \frac { - 5 - \sqrt { 13 } } { 8 } , \frac { - 5 + \sqrt { 13 } } { 8 } \right\}\)
• C) \(\left\{ \frac { - 10 - \sqrt { 13 } } { 4 } , \frac { - 10 + \sqrt { 13 } } { 4 } \right\}\)
• D) \(\left\{ \frac { - 5 - \sqrt { 37 } } { 4 } , \frac { - 5 + \sqrt { 37 } } { 4 } \right\}\)

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Definitions:

Formula

A concise way of expressing information symbolically, as in a mathematical or chemical formula, representing a relationship between variables.

One-Sample Tests

Statistical tests used to compare the mean of a sample to a known value or standard, in order to assess if the sample comes from a population with that specific mean.

Alternative Hypotheses

In statistical testing, a hypothesis that suggests a difference or effect contrary to the null hypothesis, essentially proposing that an observed effect is real.

Null

In statistics, this refers to the null hypothesis, which is a default hypothesis that there is no significant difference or effect.