# Nature of Roots Worksheets

What are the Nature of Roots? Math can be very confusing most of the time, and that is for sure. But there are many definitions and ideas in math that are not as difficult as they seem. You simply have to pay a little attention and concentration to it, and you can easily grasp the idea of what the sum or question requires for you to solve. So when you hear the word "nature of roots," there is no reason to be confused because we are going to help you and make it easier for you to understand. Let's take a look! In very easy words, the nature of roots refers to the category in which the roots fall. The nature of roots can be easily determined through the determinate of the quadratic equation √b2 - 4ac in the form ax2 + bx + c. There four types of nature of roots: 1. Real, if the discriminate is 0. 2. Imaginary, if the discriminate is negative. 3. Unequal, if the discriminate is positive. 4. Equal, if the discriminate is positive.

• ### Basic Lesson

Guides students through solving equations that involve roots. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of the Nature of Roots.

• ### Independent Practice 2

Students explore the Nature of Roots in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Nature of Roots.

• ### Skill Quiz

This tests the students ability to evaluate the Nature of Roots.

• ### Answer Key

Answers for math worksheets, quiz, homework, and lessons.

#### There Are...

There are 10 kinds of mathematicians.

Those who can think binarily and those who can't...