Discriminants

Math is filled with all kinds of interesting and complex-sounding vocabulary. A classic example of one of these terms is "discriminant." So what exactly is a discriminant? When do we use it? And how can it help us on our math journey? Let''s find out:

The discriminant explained

The discriminant is an important term to know when dealing with quadratic equations.

Essentially, the discriminant is simply this expression:

b²-4ac

This expression tends to pop up when we rewrite the quadratic formula:

0 = ax²+bx+c

to solve for x:

x = ((-b)±√(b2-4ac))/(2a)

We can see the discriminant contained within the radical sign.

So what''s the big deal? Why does this specific expression get its own special name? There are a number of important things to remember about the discriminant:

If it is positive, we are left with two real solutions
If it is zero, we get one and only one real solution because both answers are identical
If it is negative, we are left with two complex solutions

In other words, the discriminate can "discriminate" or "choose" different solutions based on its own "bias" or inherent qualities.

Topics related to the Discriminants

Quadratic Equations

Quadratic Formula

Solving Quadratic Equations using Factoring

Flashcards covering the Discriminants

Algebra 1 Flashcards

College Algebra Flashcards

Practice tests covering the Discriminants

Algebra 1 Diagnostic Tests

College Algebra Diagnostic Tests

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