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Example Questions
Example Question #22 : Equations / Solution Sets
Which of the following is true of the solution set of the equation ?
Possible Answers:
The solution set comprises two irrational numbers.
The solution set comprises two imaginary numbers.
The solution set comprises one rational number.
The solution set comprises two rational numbers.
The solution set comprises one irrational number.
Correct answer:
The solution set comprises two imaginary numbers.
Explanation:
First, since the equation is quadratic, put it in standard form
as follows:
To determine the nature of the solution set, evaluate discriminant for
:
The discriminant is negative, so the solution set comprises two imaginary numbers.
Michael
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St. Francis College, Bachelor of Science, Mathematics. St John's University-New York, Master of Science, Education.
Nicholas
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University of California-San Diego, Bachelor of Science, Applied Mathematics.
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