Evaluate the Discriminant for the Equation $- 5 - 5 a ^ { 2 } = - 7 a - 7$

question 415

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
- $- 5 - 5 a ^ { 2 } = - 7 a - 7$

• A) Two distinct nonreal complex solutions
• B) Two distinct rational solutions
• C) One rational solution (a double solution)
• D) Two distinct irrational solutions

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Definitions:

Total Variation

The overall measure of the spread or dispersion within a set of data points or observations.

Sum of Squares

The total squared deviation of each observation from the mean, a measure of total variation within a dataset.

Unexplained

Refers to the portion of variance in a set of data that cannot be accounted for by the predictive variables in a statistical model.

Null Hypothesis

A statement in hypothesis testing that assumes no significant difference or effect exists between the parameters being tested.