Table of Contents

## Nature of Roots of a Quadratic Equations

Nature of Roots of a Quadratic Equations: A quadratic equation is an equation in which a variable appears in a power of two. The most common form of a quadratic equation is **ax^2+bx+c=0**, where a, b, and c are real numbers and x is the variable. The roots of a quadratic equation are the values of x that make the equation true. There are two roots of a quadratic equation, and they are both real numbers.

## What are Quadratic Equations?

A quadratic equation is an equation in the form **ax2 + bx + c = 0**. The a, b, and c are constants, and x is the variable. The roots of a quadratic equation are the values of x that make the equation true.

### How are Quadratic equations different from Quadratic Polynomials?

Quadratic equations are different from quadratic polynomials because an equation is a mathematical statement that two things are equal, while a polynomial is an expression consisting of one or more terms, each of which is a multiple of a power of x. In other words, a polynomial is an equation that can be written in the form** ax^n+bx^n-1+cx^n-2+…+dx^2+ex+**

## Methods used for finding roots of Quadratic Equations

There are various methods that can be used for finding the roots of a quadratic equation. The most common methods are the quadratic formula, factoring, and completing the square.

The quadratic equation can be solved by using the quadratic formula, which is:

The roots of the equation can also found by factoring the quadratic equation.

## Graphical Representation of Quadratic Equations

A quadratic equation is a mathematical equation that has the form: **ax2 + bx + c = 0**

The graph of a quadratic equation is a parabola. The equation can written in standard form, vertex form, or intercept form.

The standard form of a quadratic equation is: **ax2 + bx + c = 0**

The vertex form of a quadratic equation is: **x = –b ±**

### Type of Roots

There are three types of roots in the English language:

- The root word is the base form of the word.
- The derivative word is a word that formed from the root word.
- The compound word is a word that formed from two or more root words.

### Nature of Roots

One of the most interesting things about plants is their root systems. The roots of a plant are important for many reasons. They anchor the plant in the soil, they take in water and nutrients from the soil, and they help to distribute the plant’s water and nutrients throughout the plant.

The roots of a plant are typically hidden from view, but they can seen when the soil turned over. The root system of a plant made up of two types of roots: the

#### Solved Examples of Quadratic Functions

In mathematics, a quadratic function is a polynomial function in which the highest-degree term is a second-degree polynomial, such as x2 + 5x + 6. A function of the form f(x) = ax2 + bx + c, where a, b, and c are real numbers, and a ≠ 0, is a quadratic function. The graph of a quadratic function is a par

**Facts and Theories**

There are a number of different theories about how the world works. Some people believe that everything is random, and that there is no rhyme or reason to what happens. Others believe that there is a grand plan behind everything, and that everything happens for a specific reason. Between these two extremes are a number of other theories, including those that believe that there is some combination of chance and destiny at work, or that our actions have consequences that we cannot see.