Understanding the Discriminant - High School Math
Card 0 of 4
Given 
, what is the value of the discriminant?
Given
In general, the discriminant is 
.
In this particual case 
.
Plug in these three values and simplify: 
In general, the discriminant is
In this particual case
Plug in these three values and simplify:
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Use the discriminant to determine the nature of the roots:
Use the discriminant to determine the nature of the roots:
The formula for the discriminant is:
Since the discriminant is negative, there are 
imaginary roots.
The formula for the discriminant is:
Since the discriminant is negative, there are
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Use the discriminant to determine the nature of the roots:
Use the discriminant to determine the nature of the roots:
The formula for the discriminant is:
Since the discriminant is positive and not a perfect square, there are irrational roots.
The formula for the discriminant is:
Since the discriminant is positive and not a perfect square, there are
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Use the discriminant to determine the nature of the roots:
Use the discriminant to determine the nature of the roots:
The formula for the discriminant is:
Since the discriminant is negative, there are imaginary roots.
The formula for the discriminant is:
Since the discriminant is negative, there are
Compare your answer with the correct one above