All High School Math Resources
Example Questions
Example Question #1 :Understanding The Discriminant
Use the discriminant to determine the nature of the roots:
rational root
rational roots
imaginary root
irrational roots
imaginary roots
irrational roots
The formula for the discriminant is:
Since the discriminant is positive and not a perfect square, there areirrational roots.
Example Question #2 :Understanding The Discriminant
Use the discriminant to determine the nature of the roots:
irrational roots
rational roots
imaginary root
rational root
imaginary roots
imaginary roots
The formula for the discriminant is:
Since the discriminant is negative, there areimaginary roots.
Example Question #3 :Understanding The Discriminant
Use the discriminant to determine the nature of the roots:
real roots
imaginary root
imaginary roots
Cannot be determined
real root
imaginary roots
The formula for the discriminant is:
Since the discriminant is negative, there areimaginary 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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