C# Program - Find Roots of a Quadratic Equation
A standard form of a quadratic equation is:
ax2 + bx + c = 0
Where:
a, b and c are real numbers and a ≠ 0.
Roots of the equation are:
For Example:
The roots of equation x2 + 5x + 4 = 0 is
The roots of the equation will be imaginary if D = b2 - 4ac < 0. For example - the roots of equation x2 + 4x + 5 = 0 will be
Example: Calculate roots of a Quadratic equation
In the below example, a method called roots is created which takes a, b and c as arguemts to calculate the roots of the equation ax2 + bx + c = 0.
using System;
class MyProgram {
static void roots(double a, double b, double c) {
double D = b*b - 4*a*c;
if (D >= 0){
double x1 = (-b + Math.Sqrt(D))/(2*a);
double x2 = (-b - Math.Sqrt(D))/(2*a);
Console.WriteLine("Roots are: " + x1 + ", " + x2);
} else {
double x1 = -b/(2*a);
double x2 = Math.Sqrt(-D)/(2*a);
Console.WriteLine("Roots are: " + x1 + "±" + x2 +"i");
}
}
static void Main(String[] args) {
Console.WriteLine("Equation is x*x+5x+4=0");
roots(1,5,4);
Console.WriteLine("\nEquation is x*x+4x+5=0");
roots(1,4,5);
}
}
The above code will give the following output:
Equation is x*x+5x+4=0 Roots are: -1, -4 Equation is x*x+4x+5=0 Roots are: -2±1i
