Discriminant rules for equations

What is discriminant?

The Discriminant of a quadratic equation is a term that can be used to determine the number and type of solutions that the equation has. The Discriminant is generally represented by the letter “D”.

What are the discriminant rules for equations?

There are three main Discriminant rules for equations:

1) If the Discriminant is positive, then there are two real solutions.

2) If the Discriminant is zero, then there is one real solution.

3) If the Discriminant is negative, then there are no real solutions.

In order to calculate the Discriminant, you will need to know the coefficients of the equation. These are typically represented by the letters “a”, “b”, and “c”.

The Discriminant is calculated using the following formula:

Discriminant = b² — 4ac

Once you have calculated the Discriminant, you can use the Discriminant rules to determine the number of solutions that the equation has.

If you need help calculating the Discriminant, you can use our Discriminant Calculator. Discriminant = b² — 4ac

The Discriminant tells us how many and what type of solutions (real or imaginary) an equation will have.

Positive Discriminant: Real

Negative and Zero Discriminant: Imaginary