In this program, you will learn to find all roots of a quadratic equation in Java.

Also, you can use the Java compiler to compile a program.

## Program to implement all Roots of a Quadratic equation in java

The standard form of equation is:

ax^{2}+ bx + c = 0, where a, b and c are real numbers and a ≠ 0

The term `b`

is known as the determinant of an equation. The determinant tells the nature of the roots.^{2}-4ac

- If the determinant is greater than 0, the roots are real and different.
- And determinant is equal to 0, the roots are real and equal.
- If the determinant is less than 0, the roots are complex and different.

##### SOURCE CODE.

```
import java.util.*;
class quadratic3
{
public static void main(String args[])
{
int e,a,b,c;
double l,x,y;
Scanner s= new Scanner(System.in);
System.out.println("Enter value a,b,c:");
a=s.nextInt();
b=s.nextInt();
c=s.nextInt();
e=b*b-4*a*c;
if(e<0)
{
System.out.println("NOT REAL");
}
else if(e == 0)
{
x = -b / (2.0 * a);
System.out.println("The root is " + x);
}
else
{
l=Math.sqrt(e);
x= (-b+l)/(2*a);
y= (-b-l)/(2*a);
System.out.println("equation= "+x+" & "+y);
}
}// END OF MAIN
}//END OF CLASS
```

#### OUTPUT.

C:\A>javac quadratic3.java

C:\A>java quadratic3

Enter value a,b,c:

1

4

4

The root is -2.0

#### OR

C:\A>javac quadratic3.java

C:\A>java quadratic3

Enter value a,b,c:

1

5

2

equation= -0.4384471871911697 & -4.561552812808831

Also view: – Command-Line program find the Largest number

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