Use the Discriminant to Find What Type of Solutions (Two $$x ^ { 2 } + 5 x + 1 = 0$$

question 49

Multiple Choice

Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex)
each of the following equations has. Do not solve the equation.
- $$x ^ { 2 } + 5 x + 1 = 0$$

• A) two nonreal complex solutions
• B) one rational solution
• C) two rational solutions
• D) two irrational solutions

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Definitions:

Semantic Interpretation

The process of deducing the meanings of words, sentences, or symbols within their particular context and understanding their intended message.

Additive Empathic Response

A communication strategy where the responder not only shows understanding towards the speaker's feelings but also adds their own supportive insight or emotion to the interaction.

Semantic Interpretations

An analysis process focusing on understanding the meaning of words, phrases, and sentences in a language.

Propositional Statements

Statements that express judgments, opinions, or assertions that can be either true or false.