Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation.
A) rational, equal
B) irrational, unequal
C) irrational, equal
D) nonreal complex numbers, complex conjugates
E) rational, unequal

Question

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. 
A) rational, equal 
B) irrational, unequal 
C) irrational, equal 
D) nonreal complex numbers, complex conjugates 
E) rational, unequal

Quizplus · Accepted Answer

The discriminant of a quadratic equation is given by b^2 - 4ac. If this value is negative, then the roots of the equation will be nonreal complex numbers and will come in the form of complex conjugates. Therefore, the answer is D.

Use the Discriminant to Determine What Type of Solutions Exist