多组输入,一行,包含三个浮点数a, b, c,以一个空格分隔,表示一元二次方程ax2 + bx + c = 0的系数。
针对每组输入,输出一行,输出一元二次方程ax2 + bx +c = 0的根的情况。
如果a = 0,输出“Not quadratic equation”;
如果a ≠ 0,分三种情况:
△ = 0,则两个实根相等,输出形式为:x1=x2=...。
△ > 0,则两个实根不等,输出形式为:x1=...;x2=...,其中x1 <= x2。
△ < 0,则有两个虚根,则输出:x1=实部-虚部i;x2=实部+虚部i,即x1的虚部系数小于等于x2的虚部系数,实部为0时不可省略。实部= -b / (2*a),虚部= sqrt(-△ ) / (2*a)
所有实数部分要求精确到小数点后2位,数字、符号之间没有空格。
2.0 7.0 1.0
x1=-3.35;x2=-0.15
0.0 3.0 3.0
Not quadratic equation
1 2 1
x1=x2=-1.00
2 2 5
x1=-0.50-1.50i;x2=-0.50+1.50i
1 0 1
x1=0.00-1.00i;x2=0.00+1.00i
#include<stdio.h> #include<math.h> //double sqrt(double x) 求x的平方根 int main(){ double a,b,c,s,x1,x2,num,real,imag; while(scanf("%lf %lf %lf",&a,&b,&c)!=EOF){ if(a==0) printf("Not quadratic equation\n"); else{ s=b*b-4*a*c; //printf("%.2lf\n",s); if(s==0){ x1=(-b)/(2*a); if(x1==0) x1=0.00; x2=x1; printf("x1=x2=%.2lf\n",x1); } else if(s>0){ x1=(sqrt(s)-b)/(2*a); if(x1==0) x1=0.00; x2=(-sqrt(s)-b)/(2*a); if(x2==0) x2=0.00; num=x1; x1=(x1<=x2)?num:x2; x2=(num<=x2)?x2:num; printf("x1=%.2lf;x2=%.2lf\n",x1,x2); } else{ real=(-b)/(2*a); if(real==0) real=0.00; imag=sqrt(-s)/(2*a); if(imag==0) imag=0.00; if(imag<0) imag=-imag; printf("x1=%.2lf-%.2lfi;x2=%.2lf+%.2lfi\n",real,imag,real,imag); } } } return 0; }
#include<stdio.h> #include<math.h> int main(){ float a,b,c,delta,x1,x2,xb; while(scanf("%f %f %f",&a,&b,&c)!=EOF){ if(a==0){ printf("Not quadratic equation"); }else{ delta=b*b-4*a*c; if(delta==0){ x1=(-b)/(2*a); if(x1==0){ printf("x1=x2=0.00\n"); } else{ printf("x1=x2=%.2f\n",x1); } }else if(delta>0){ x1=(-b)/(2*a)-sqrt(delta)/(2*a); x2=(-b)/(2*a)+sqrt(delta)/(2*a); printf("x1=%.2f;x2=%.2f\n",x1,x2); }else{ x1=(-b)/(2*a); x2=(-b)/(2*a); xb=sqrt(-delta)/(2*a); printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",x1,xb,x2,xb); } } } }
#include<stdio.h> #include<math.h> int main() { float a,b,c,det; while(~scanf("%f%f%f",&a,&b,&c)) { if(a==0)printf("Not quadratic equation\n"); else { det=b*b-4*a*c; if(det==0)printf("x1=x2=%.2f\n",-b/(2*a)); else if(det>0)printf("x1=%.2f;x2=%.2f\n",(-b-sqrt(det))/(2*a),(-b+sqrt(det))/(2*a)); else if(det<0)printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n", -b/(2*a),sqrt(-det)/(2*a),-b/(2*a),sqrt(-det)/(2*a)); } } return 0; }
#include<stdio.h> #include<math.h> int main(){ float a,b,c,delta,m,n; while(~scanf("%f %f %f",&a,&b,&c)){ if(a==0){ printf("Not quadratic equation\n"); continue; } delta = b*b-4*a*c; if(delta==0) printf("x1=x2=%.2f\n",(b+sqrt(delta))/(-2*a)); else if(delta>0){ m=(b+sqrt(delta))/(-2*a); n=(b-sqrt(delta))/(-2*a); printf("x1=%.2f;x2=%.2f\n",m>n?n:m,m>n?m:n); } else{ m=b/(-2*a); n=sqrt(-delta)/(2*a); printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",m,n,m,n); } } }
#include<bits/stdc++.h> using namespace std; int main() { double a,b,c; while(cin >> a >> b >> c) { double dt = b*b-4*a*c; if(a==0) { cout << "Not quadratic equation" << endl; } else if(dt==0) { printf("x1=x2=%.2f\n", -b/(2*a)); } else if(dt>0) { double x1 = (-b+sqrt(dt))/(2*a); double x2 = (-b-sqrt(dt))/(2*a); if(x1>x2) swap(x1, x2); printf("x1=%.2f;x2=%.2f\n", x1, x2); } else { double x = fabs(sqrt(-dt)/(2*a)); double s = -b/(2*a); printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n", s, x, s, x); } } return 0; }
#include <stdio.h> (737)#include <math.h> int main() { double a,b,c; while(scanf("%lf%lf%lf",&a,&b,&c)!=EOF){ if(a==0){ printf("Not quadratic equation\n"); continue; } double delta=b*b-4*a*c; if(delta==0){ printf("x1=x2=%.2f\n",-b/(2*a)); }else if(delta>0){ printf("x1=%.2f;x2=%.2f\n",-(b+sqrt(delta))/(2*a),-(b-sqrt(delta))/(2*a)); }else{ if(b==0) printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",b,sqrt(-delta)/(2*a),b,sqrt(-delta)/(2*a)); else printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",b/(-2*a),sqrt(-delta)/(2*a),b/(-2*a),sqrt(-delta)/(2*a)); } } }
#include <cstdio> #include <cmath> void geng(float a,float b,float k) { if(k>0) { k=sqrt(k); printf("x1=%.2f;x2=%.2f\n",(-b-k)/(2*a),(-b+k)/(2*a)); } else if(k==0) printf("x1=x2=%.2f\n",(-b)/(2*a)); else { if(b==0) b=-b; k=sqrt(-k); printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",(-b)/(2*a),k/(2*a),(-b)/(2*a),k/(2*a)); } } int main() { float a,b,c; while(scanf("%f %f %f",&a,&b,&c)!=EOF) { if(a==0) printf("Not quadratic equation\n"); else { float k=b*b-4*a*c; geng(a,b,k); } } return 0; }
#include<bits/stdc++.h> using namespace std; int main(){ double a, b, c; while(cin >> a >> b >> c){ if(a == 0) cout << "Not quadratic equation" << endl; else{ double delta = pow(b, 2.0) - (4 * a * c); if(delta > 0){ double x1 = (-b - sqrt(delta)) / (2 * a); double x2 = (-b + sqrt(delta)) / (2 * a); cout << fixed << setprecision(2) << "x1=" << x1 << fixed << setprecision(2) << ";x2=" << x2 << endl; } else if(delta < 0){ if(-b / (2 * a) == 0){ cout << fixed << setprecision(2) << "x1=" << 0.00 << "-" << fixed << setprecision(2) << sqrt(-delta) / (2 * a) << "i" << fixed << setprecision(2) << ";x2=" << 0.00 << "+" << fixed << setprecision(2) << sqrt(-delta) / (2 * a) << "i" << endl; } else{ cout << fixed << setprecision(2) << "x1=" << -b / (2 * a) << "-" << sqrt(-delta) / (2 * a) << "i" << fixed << setprecision(2) << ";x2=" << -b / (2 * a) << "+" << sqrt(-delta) / (2 * a) << "i" << endl; } } else{ cout << fixed << setprecision(2) << "x1=x2=" << -b / (2 * a) << endl; } } } return 0; }
#include <stdio.h> #include <math.h> int main() { double a = 0.0; double b = 0.0; double c = 0.0; while(scanf("%lf %lf %lf",&a,&b,&c) != EOF) { if(a == 0) printf("Not quadratic equation\n"); else { double drct = (b*b)-(4*a*c); if(drct == 0) { if(b == 0) { printf("x1=x2=%.2lf\n",0);//4 0 0 打印出-0后所需要改正的 } else { printf("x1=x2=%.2lf\n",(-b)/(2*a)); } } else if(drct > 0) printf("x1=%.2lf;x2=%.2lf\n",(-b-sqrt(drct))/(2*a),(-b+sqrt(drct))/(2*a)); else { double real = (-b)/(2*a); double dash = sqrt(-drct)/(2*a); if(dash < 0) dash = -dash; printf("x1=%.2lf-%.2lfi;x2=%.2lf+%.2lfi\n", real, dash, real, dash); } } } return 0; }
#include<stdio.h> #include<math.h> int main() { double a=0.0,b=0.0,c=0.0; while(~scanf("%lf %lf %lf",&a,&b,&c)) { if(a==0.0) printf("Not quadratic equation\n"); else { double disc=b*b-4*a*c; if(disc==0.0) { if(b==0&&c==0)//不然会显示-0.0! printf("x1=x2=0.00\n"); else printf("x1=x2=%.2lf\n",-b/(2.0*a)); } else if(disc>0.0) { printf("x1=%.2lf;x2=%.2lf\n", (-b-sqrt(disc))/(2*a),(-b+sqrt(disc))/(2*a)); } else { double real=(-b)/(2*a); double image=sqrt(-disc)/(2*a); printf("x1=%.2lf-%.2lfi;x2=%.2lf+%.2lfi\n", real,image,real,image); } } } return 0; }if(b==0&&c==0)//不然会显示-0.0! printf("x1=x2=0.00\n"); else printf("x1=x2=%.2lf\n",-b/(2.0*a));printf("x1=x2=%.2lf\n",(-b+sqrt(disc))/(2.0*a)); 这样写过不了-4 0 0,还是显示-0.0; 直接写printf("x1=x2=%.2lf\n",-b/(2.0*a)); 过不了4 0 0,显示-0.0; 所以直接(能过) if(b==0&&c==0) printf("x1=x2=0.00\n");
#include<stdio.h> #include<math.h> int main(void) { float a, b, c; // 存储二次方程的系数 float i, j, k; // 临时变量 float* p = &i, * q = &j; while (scanf("%f%f%f", &a, &b, &c) != EOF) { // 从输入流中循环读取 if (a == 0) // 如果a==0,则不是二次方程,输出提示语 printf("Not quadratic equation\n"); else { *p = b * b - 4 * a * c; // 求△ *q = 2 * a; // 临时变量存储2*a k = (-b) / (2*a); // 临时变量存储,减少计算次数 if (*p == 0) printf("x1=x2=%.2f\n", k != 0?k:0.00); // 会出现-0.0,所以条件表达式 else if (*p > 0) { printf("x1=%.2f;", (-b - sqrt(*p)) / *q); // 计算x1 printf("x2=%.2f\n", (-b + sqrt(*p)) / (2 * a)); // 计算x2 } else { printf("x1=%.2f-%.2fi;", k, sqrt(-(*p)) / *q); // 虚根1 printf("x2=%.2f+%.2fi\n", k, sqrt(-(*p)) / *q); // 虚根2 } } } return 0; }
#include <stdio.h> #include <math.h> int main() { float a, b, c, x1, x2; float shi, xu; while( scanf("%f %f %f", &a, &b, &c)!=EOF) { float fx = b * b - 4 * a * c; if (a == 0) { printf("Not quadratic equation\n"); } else { if (fx > 0) { x1 = (-b - sqrt(fx)) / (2 * a); x2 = (-b + sqrt(fx)) / (2 * a); printf("x1=%.2f;", x1); printf("x2=%.2f\n", x2); } else if (fx == 0) { x1 = x2 = (-b / (2 * a)); if(x1==-0) x1=0.00; printf("x1=x2=%.2f\n", x1); } else { shi = -b / (2 * a); xu = sqrt(-fx) / (2 * a); if(xu<0) xu=-xu; if(shi==-0) shi=0.00; printf("x1=%.2f-%.2fi;", shi, xu); printf("x2=%.2f+%.2fi\n", shi, xu); } } } return 0; }
#include <stdio.h> #include <math.h> int main() { float a,b,c; while(scanf("%f%f%f",&a,&b,&c)!=EOF) { if(a==0) { printf("Not quadratic equation\n"); } else if(b*b-4*a*c==0) { printf("x1=x2=%.2f\n",-b/(2*a)); } else if(b*b-4*a*c>0) { printf("x1=%.2f;x2=%.2f\n",(-b-sqrt(b*b-4*a*c))/(2*a),(-b+sqrt(b*b-4*a*c))/(2*a)); } else if(b*b-4*a*c<0) { if(b!=0) { printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n",-b/(2*a),sqrt(-(b*b-4*a*c))/(2*a),-b/(2*a),sqrt(-(b*b-4*a*c))/(2*a)); } else if(b==0) { printf("x1=0.00-%.2fi;x2=0.00+%.2fi\n",sqrt(-(b*b-4*a*c))/(2*a),sqrt(-(b*b-4*a*c))/(2*a)); } } } return 0; }
#define _CRT_SECURE_NO_WARNINGS #include<stdio.h> #include<math.h> int main() { float a, b, c; while (scanf("%f %f %f", &a, &b, &c) != EOF) { if (a == 0.0)printf("Not quadratic equation\n"); else { float d = b * b - 4 * a * c; if (d == 0) { float x = (-b + sqrt(d)) / (2 * a); printf("x1=x2=%.2f\n", x + 0); //看评论区才知道-0.0+0可以消去负号 确实妙 //自己原计划是用if直接输出 如下 //if (x == -0.0)printf("x1=x2=0.00"); } else if (d > 0) { float x1 = (-b + sqrt(d)) / (2 * a); float x2 = (-b - sqrt(d)) / (2 * a); printf("x1=%.2f;x2=%.2f\n", x1<x2 ? x1 : x2, x1>x2 ? x1 : x2); } else if (d < 0) { float s = (-b) / (2 * a); float x = sqrt(-d) / (2 * a); printf("x1=%.2f-%.2fi;x2=%.2f+%.2fi\n", s, x, s, x); } } } return 0; }
#include <stdio.h> #include<math.h> //会用到sqrt void check_equation(double a, double b, double c) //求根函数 { double x1=0,x2=0; //两个根 if(a == 0) { printf("Not quadratic equation\n"); } else //a不为0的情况 { double M = b*b-(4*a*c); //后面不用计算,提升效率,判断式 if(M==0) //两根相等 { double x = b/(-2*a); //相等时的求根公式 if(x == 0) //x等于0.00时总是以-0.00显示 printf("x1=x2=0.00\n"); else printf("x1=x2=%.2lf\n", x); } else if(M>0) //两根为实根 { x1 = (-b+sqrt(M))/(2*a); x2= (-b-sqrt(M))/(2*a); //求根公式 if(x1<=x2) //小的根一定在前面 printf("x1=%.2lf;x2=%.2lf\n",x1,x2); else printf("x1=%.2lf;x2=%.2lf\n",x2,x1); } else //两个为虚根 { double shi = -b/(2*a); //虚部,虚部和实部不能相加 double xu = sqrt(-M)/(2*a); //一定是正数!!! //直接打印 //因为虚部显示是相反数,而xu一定为正数 //所以x1 一定是“-”减号字符,x2一定是“+”加号字符 printf("x1=%.2lf-%.2lfi;x2=%.2lf+%.2lfi",shi,xu,shi,xu); // double xu2 = -xu1; //不用比较虚部的大小了 // if(xu1<=xu2) // { // printf("x1=%.2lfi;x2=%.2lfi\n",); // } // else // printf("x1=%.2lfi;x2=%.2lfi\n",x4,x3); } } } int main() { double a,b,c; while(scanf("%lf %lf %lf", &a, &b, &c) !=EOF) //如果在成功读取任何数据之前发生任何情况 //则返回 EOF。 { check_equation(a,b,c); //求根函数 } return 0; }