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Discriminant

Main Concept

The expression b24 a c is called the discriminant of the quadratic equation ax2+bx+c=0. From the discriminant, you can determine how many real solutions (roots) the equation has:

 

Discriminant Value

Number of corresponding distinct real solutions

positive

2

equal to zero

1

negative

0

 

Generate a random quadratic function by clicking on the button. Observe that the discriminant of the right hand side corresponds with the number of roots.

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