/*
 * program to solve quadratic equation
 * prompts for three coefficients a, b, and c and prints real roots (if any)
 * of a*x*x + b*x + c = 0.
 */
#include <stdio.h>
#include <math.h>

int main(void) {
	
	float a, b, c;
	double r1, r2;

	printf("enter a b c\n");
	if (scanf("%f %f %f", &a, &b, &c) != 3) {
		printf("not numbers\n");
		return 1;
	}

	if (a != 0) {
		int discrim = b*b - 4*a*c;
		if (discrim < 0) {
			printf("no real roots\n");
		}
		else {
			r1 = (-b + sqrt(discrim))/(2*a);
			r2 = (-b - sqrt(discrim))/(2*a);
			printf("%f %f\n", r1, r2);
		}
	}
	else if (b != 0) {
		printf("%f\n", -c/b);
	}
	else if (c != 0) {
		printf("no solution\n");
	}
	else {
		printf("all x's are solutions\n");
	}

	return 0;
}