Use the Discriminant to Determine the Number of Real Solutions $4 x ^ { 2 } + 9 x + 3 = 0$

question 93

Multiple Choice

Use the discriminant to determine the number of real solutions of the quadratic equation below. $4 x ^ { 2 } + 9 x + 3 = 0$

• A)no real solutions
• B)three real solutions
• C)four real solutions
• D)one real solution
• E)two real solutions

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Definitions:

Count And Divide

A method involving enumeration and separation into parts or groups, typically used for analytical or problem-solving purposes.

Intuitive Judgment

The ability to understand or know something without the need for conscious reasoning or direct evidence.

Bias

A tendency to favor or lean towards a particular perspective, judgment, or result over others, often in a way considered to be unfair.

Intuitive Judgments

Decisions or assessments made based on gut feelings or instincts rather than analytical reasoning or explicit reasoning.