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Example Questions
Example Question #15 : Quadratic Equations And Inequalities
Use the discriminant to determine the nature of the roots:
irrational roots
rational root
imaginary roots
imaginary root
rational roots
irrational roots
The formula for the discriminant is:
Since the discriminant is positive and not a perfect square, there are irrational roots.
Example Question #13 : Understanding Quadratic Equations
Use the discriminant to determine the nature of the roots:
imaginary roots
rational root
rational roots
irrational roots
imaginary root
imaginary roots
The formula for the discriminant is:
Since the discriminant is negative, there are imaginary roots.
Example Question #2 : Understanding The Discriminant
Use the discriminant to determine the nature of the roots:
Cannot be determined
real root
imaginary roots
imaginary root
real roots
imaginary roots
The formula for the discriminant is:
Since the discriminant is negative, there are imaginary roots.
Example Question #1 : Discriminants
Given , what is the value of the discriminant?
In general, the discriminant is .
In this particual case .
Plug in these three values and simplify:
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