Understanding the Discriminant
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Math › Understanding the Discriminant
Use the discriminant to determine the nature of the roots:
Cannot be determined
Explanation
The formula for the discriminant is:
Since the discriminant is negative, there are 
Use the discriminant to determine the nature of the roots:
Explanation
The formula for the discriminant is:
Since the discriminant is positive and not a perfect square, there are
Use the discriminant to determine the nature of the roots:
Explanation
The formula for the discriminant is:
Since the discriminant is negative, there are
Given 
Explanation
In general, the discriminant is 
In this particual case 
Plug in these three values and simplify:
