Types of Roots of Quadratic Equations

2.2 Types of Roots of Quadratic Equations
 
A diagram showing the quadratic equation formula and its components.
 
Introduction

The type of roots of a quadratic equation \(ax^2+bx+c=0\) can be determined by finding the value of discriminant, \(D=b^2-4ac\).

 
Condition of \(D\) Type of Roots
\(b^2-4ac \gt 0\) Two different real roots
\(b^2-4ac=0\) Two equal real roots
\(b^2-4ac \lt 0\) No real roots
 

Types of Roots of Quadratic Equations

2.2 Types of Roots of Quadratic Equations
 
A diagram showing the quadratic equation formula and its components.
 
Introduction

The type of roots of a quadratic equation \(ax^2+bx+c=0\) can be determined by finding the value of discriminant, \(D=b^2-4ac\).

 
Condition of \(D\) Type of Roots
\(b^2-4ac \gt 0\) Two different real roots
\(b^2-4ac=0\) Two equal real roots
\(b^2-4ac \lt 0\) No real roots