# Arithmetic Course/Polynominal Equation

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## Contents

## Polynominal Equation[edit]

An equation is an expression of one variable such that

## Solving Polynominal Equation[edit]

Solving polynominal equations involves finding all the values of variable x that satisfy f(x) = 0.

### First Order Equation[edit]

A first order polynominal equation of one variable x has the general form

- Ax + B = 0

Rewrite the equation above

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle x = -\frac{B}{A}}**

## Second Order Equation[edit]

A second order polynominal equation of one variable x has the general form

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle Ax^2 + Bx + C = 0}**

### Solving Equation[edit]

#### Method 1[edit]

Where

Depending on the value of the equation will have the following root

One Real Root

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle -\alpha = - \frac{B}{2A}}**

Two Real Roots

Two Complex Roots

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle -\alpha \pm j\lambda }**

#### Method 2[edit]

#### Method 3[edit]