# Java Program to Find Roots of Quadratic Equation

In this Java tutorial, you will learn how to find the roots of quadratic equation with a sample code snippet.

## How to find the roots of quadratic equation?

```public class Main {

public static void main(String[] args) {

double a = 2, b = -5, c = 6;

double root1, root2;

double determinant = b * b - 4 * a * c;

if (determinant > 0) {

root1 = (-b + Math.sqrt(determinant)) / (2 * a);

root2 = (-b - Math.sqrt(determinant)) / (2 * a);

System.out.format("root1 = %.2f and root2 = %.2f", root1, root2);

}

else if (determinant == 0) {

root1 = root2 = -b / (2 * a);

System.out.format("root1 = root2 = %.2f;", root1);

}

else {

double real = -b / (2 * a);

double imaginary = Math.sqrt(-determinant) / (2 * a);

System.out.format("root1 = %.2f+%.2fi", real, imaginary);

System.out.format("\nroot2 = %.2f-%.2fi", real, imaginary);

}

}

}```

## OUTPUT

```root1 = 1.25+1.20i
root2 = 1.25-1.20i```

In the above program the, coefficients of a, b, c are set to 2, -5, 6.

The determinant is calculated using b^2-4ac.

The roots are calculated based on the determinant and to calculate the square root of a number we use the library function Math.sqrt().