# Nature of Roots Worksheets

What is the Nature of Roots? (in math) 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 Nature of Roots.

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving Nature of Roots.

• ### Independent Practice 1

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

• ### Independent Practice 2

Students use Nature of Roots in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Nature of Roots.

• ### Skill Quiz

This tests the students ability to understand Nature of Roots.

• ### Answer Key

Answers for all lessons and independent practice.

#### Adding and Multiplying...

Commutative properties of addition and multiplication say two numbers can be added or multiplied in any order without changing the sum or product. Associative properties mean the addends or factors can be grouped in any manner without affecting the sum or product.