All HiSET: Math Resources
Example Questions
Example Question #21 : Algebraic Concepts
Give the nature of the solution set of the equation
Possible Answers:
Two rational solutions
One imaginary solution
Two irrational solutions
Two imaginary solutions
One rational solution
Correct answer:
Two irrational solutions
Explanation:
To determine the nature of the solution set of a quadratic equation, it is necessary to first express it in standard form
This can be done by subtracting 34 from to both sides:
The key to determining the nature of the solution set is to examine the discriminant
. Setting , the value of the discriminant is
.
The discriminant is a positive number but not a perfect square. Therefore, there are two irrational solutions.
All HiSET: Math Resources
Popular Subjects
Math Tutors in Phoenix, MCAT Tutors in Miami, SAT Tutors in Houston, Chemistry Tutors in Atlanta, English Tutors in Boston, GMAT Tutors in Houston, Statistics Tutors in San Diego, MCAT Tutors in Dallas Fort Worth, Chemistry Tutors in Chicago, GMAT Tutors in New York City
Popular Courses & Classes
Spanish Courses & Classes in Seattle, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Houston, LSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Boston, GMAT Courses & Classes in Atlanta, SAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Houston, MCAT Courses & Classes in Chicago
Popular Test Prep
GMAT Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area, MCAT Test Prep in San Diego, SAT Test Prep in Washington DC, ISEE Test Prep in Boston, GMAT Test Prep in San Diego, GRE Test Prep in Boston, SAT Test Prep in New York City, SSAT Test Prep in Boston, GRE Test Prep in San Francisco-Bay Area