The discriminant is a simple math tool that helps us understand the roots of a quadratic equation.

You can find it using this formula:

[ b^2 - 4ac ]

Here's how it works:

• Two Real Roots: If the discriminant is positive (meaning ( b^2 - 4ac > 0 )), there are two different real roots.
• No Real Roots: If the discriminant is negative (meaning ( b^2 - 4ac < 0 )), it means the equation has no real roots, only complex ones.

This method is a handy way to guess what kind of answers we’ll get!