Solve the Equation by Completing the Square $x ^ { 2 } + 41 = - 16 x$

question 81

Multiple Choice

Solve the equation by completing the square.
- $x ^ { 2 } + 41 = - 16 x$

• A) \(8 + \sqrt { 23 }\)
• B) \(- 8 - \sqrt { 23 } , - 8 + \sqrt { 23 }\)
• C) \(8 - \sqrt { 41 } , 8 + \sqrt { 41 }\)
• D) \(- 16 + \sqrt { 41 }\)

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Definitions:

Test Statistic

A statistic derived from sample data in a hypothesis test that is utilized to determine if the null hypothesis should be discarded.

Rejection Region

The range of values for which the null hypothesis is not considered probable and is rejected in hypothesis testing.

P-value

The probability of obtaining test results at least as extreme as the results observed during the test, assuming that the null hypothesis is correct.

F Value

A statistic used in ANOVA tests, representing the ratio of variance between groups to variance within groups.