Understanding the Discriminant in Quadratic Equations

The discriminant is an important part of solving quadratic equations.

1. What is the Discriminant?

• The discriminant uses this formula:
  D = b² - 4ac.

2. What Do the Results Mean?

• If D < 0, this means the quadratic equation has complex (or imaginary) solutions.
• This idea can be tough to understand at first.

3. How to Find These Solutions:

• To find the solutions, we use the quadratic formula:
  x = (-b ± √D) / (2a).
• When D is negative, we end up with the square root of a negative number.
• This is where i comes in, which stands for the imaginary unit.

It's normal to have a hard time with these concepts.
But don't worry!

With practice and some visuals, you can better understand how everything works.