//本程序基于.NET平台,编译环境是Microsoft Visual C++ .NET
//对于VC++6.0平台的修改,只须把stdafx.h换成iostream.h,然后去掉代码中的“using namespace std”
#include "stdafx.h"
#include "math.h"
using namespace std;
double du,dv;
void solu_w(double a,double b,double c)
{
double tem,tem1;
tem1=b*b-4*a*c;
double m,n;
m=(-1)*b/(2*a);
if (tem1>=0)
{
tem=sqrt(tem1);
n=tem/(2*a);
cout<<"/n方程根为:"<<'/n'<<"/t X1 = "<<m+n<<'/n'<<"/t X2 = "<<m-n<<endl;
}
else
{
tem=sqrt((-1)*tem1);
n=tem/(2*a);
cout<<"/n方程根为:"<<'/n'<<"/t X1 = "<<m<<" + "<<n<<" i"<<'/n'<<"/t X2 = "<<m<<" - "<<n<<" i"<<'/n'<<endl;
}
}
void get_du_dv(double a,double b,double c,double d,double e,double f)
{
dv=(b*d-a*e)/(c*e-b*f);
du=(c*d-a*f)/(b*f-c*e);
}
void main()
{
cout<<"输入四次方程的各个系数"<<endl;
double a4,a3,a2,a1,a0;
cout<<" a4 = ";
cin>>a4;
cout<<" a3 = ";
cin>>a3;
cout<<" a2 = ";
cin>>a2;
cout<<" a1 = ";
cin>>a1;
cout<<" a0 = ";
cin>>a0;
cout<<"/n方程为:/n/t "<<a4<<" (X*X*X*X) + "<<a3<<" (X*X*X) + "<<a2<<" (X*X) + "<<a1<<" (X) + "<<a0<<" = 0"<<'/n'<<endl;
double u,v;
cout<<"输入因子的常数项和一次项系数:"<<endl;
cout<<" u = ";
cin>>u;
cout<<" v = ";
cin>>v;
cout<<"/n因子式为:/n/t w(X) = "<<"(X*X) + "<<u<<" (X) + "<<v<<endl;
double p0,p1,p2,r0,r1;
p2=a4;
p1=a3-u*p2;
p0=a2-v*p2-u*p1;
r0=a1-v*p1-u*p0;
r1=a0-v*p0;
cout<<"/n/t p(X) = "<<p2<<" (X*X) + "<<p1<<" (X) + "<<p0<<" = 0"<<endl;
double pp3,pp2,pp1,pp0,r0v,r1v,r0u,r1u;
pp3=(-1)*p2;
pp2=(-1)*p1;
pp1=(-1)*p0;
pp0=0;
r0v=u*p2-p1;
r1v=v*p2-p0;
r0u=r1v-u*r0v;
r1u=(-1)*v*r0v;
get_du_dv(r0,r0u,r0v,r1,r1u,r1v);
solu_w(1,u+du,v+dv);
}
求解一元四次方程
最新推荐文章于 2024-08-11 03:26:32 发布