Merge pull request #39 from Krush2311/RootOfQuadratic

Root of quadratic

Author: SarthakKeshari

Basic Codes/RootsOfQuadraticEqn.java

@@ -0,0 +1,47 @@
+//Find the roots of the quadratic Equation
+import java.util.Scanner;
+
+public class quadratic_roots {
+
+	public static void main(String[] args) {
+		Scanner reader = new Scanner(System.in);
+		double a = 0;
+		double b = 0;
+		double c = 0;
+		double root1, root2;
+		
+		System.out.println("Quadratic Equation : a(x)^2 + b(x) + c = 0");
+		System.out.println("Enter value of a: ");
+		a = reader.nextDouble();
+		System.out.println("Enter value of b: ");
+		b = reader.nextDouble();
+		System.out.println("Enter value of c: ");
+		c = reader.nextDouble();
+		
+		// d stands for determinant
+		double d = (b * b) - 4 * (a * c);
+		
+		//if d = 0 roots are equal and real, id d>0 roots are real and distinct
+		if (d >= 0) {
+			root1 = (-b + Math.sqrt(d)) / (2 * a);
+			root2 = (-b - Math.sqrt(d)) / (2 * a);
+
+			System.out.println("root1 = "+root1+ "\nroot2 = "+ root2);
+			if (root1 == root2) {
+				System.out.println("Both roots are equal and real!");
+			}
+			
+			else{
+				System.out.println("Roots are real and distinct");
+			}
+		}
+		//d<0, roots are imaginary
+		else {
+			double real = -b / (2 * a);
+			double imaginary = Math.sqrt(-d) / (2 * a);				
+			System.out.println("root1 = "+real+ " + " +imaginary+"i");
+			System.out.println("root2 = "+real+ " - " +imaginary+"i");
+			System.out.println("Roots are imaginary!");
+		}
+	}
+}