[Programming] Question 22: Write a program to Find all the roots of a quadratic equation in C

 

#include <stdio.h>
#include <math.h>

int main() {
	float a, b, c, discriminant, root1, root2, realPart, imaginaryPart;

	printf("Enter coefficients a, b, and c: ");
	scanf("%f %f %f", &a, &b, &c);

	discriminant = b * b - 4 * a * c;

	if (discriminant > 0) {
		root1 = (-b + sqrt(discriminant)) / (2 * a);
		root2 = (-b - sqrt(discriminant)) / (2 * a);
		printf("Roots are real and different.\n");
		printf("Root1 = %.2f\n", root1);
		printf("Root2 = %.2f\n", root2);
	}
	else if (discriminant == 0) {
		root1 = root2 = -b / (2 * a);
		printf("Roots are real and same.\n");
		printf("Root1 = Root2 = %.2f\n", root1);
	}
	else {
		realPart = -b / (2 * a);
		imaginaryPart = sqrt(-discriminant) / (2 * a);
		printf("Roots are complex and different.\n");
		printf("Root1 = %.2f + %.2fi\n", realPart, imaginaryPart);
		printf("Root2 = %.2f - %.2fi\n", realPart, imaginaryPart);
	}

	return 0;
} 

Inside the main() function:

- Float variables `a`, `b`, `c`, `discriminant`, `root1`, `root2`, `realPart`, and `imaginaryPart` are declared to store the coefficients of the quadratic equation, discriminant, roots, real part, and imaginary part respectively.

- The user is prompted to enter the coefficients of the quadratic equation.

- Discriminant is calculated using the formula b^2 - 4ac.

- Based on the value of discriminant, the nature of roots (real, equal, or complex) is determined and printed along with the roots.