include <bits/stdc++.h>

using namespace std; void ptbac1() { long long a,b,c,tuso,gcd; long double xapxi; cout<<"nhap he so a vao day:"<<endl; cin>>a; cout<<"nhap he so b vao day:"<<endl; cin>>b; cout<<"nhap he so c vao day:"<<endl; cin>>c; tuso = (c-b); gcd = _gcd(tuso,a); tuso = tuso/gcd; a = a/gcd; if (tuso <0 && a < 0) { tuso = abs(tuso); a = abs(a); } if (a == 1) { cout<<"x="<<tuso; } else { cout<<"x="<<tuso<<"/"<<a<<endl; } xapxi = (c-b); cout<<"gia tri xap xi bang:"<<fixed<<setprecision(4)<<xapxi/a; } void hpt() { long long a,b,c,d,e,f; long double xapxix,xapxiy; cout<<"nhap he so a vao day:"<<endl; cin>>a; cout<<"nhap he so b vao day:"<<endl; cin>>b; cout<<"nhap he so c vao day:"<<endl; cin>>c; cout<<"nhap he so d vao day:"<<endl; cin>>d; cout<<"nhap he so e vao day:"<<endl; cin>>e; cout<<"nhap he so f vao day:"<<endl; cin>>f; long double x,y; if ((f*a) - d*c == 0 && d*b - a*e == 0) { cout<<"VOSONGHIEM"; return; } if (d*b - a*e == 0) { cout<<"VONGHIEM"; return; } int rutgon1,rutgon2,gcd; rutgon1 = f*a - d*c; rutgon2 = d*b - a*e; gcd = _gcd(rutgon1,rutgon2); rutgon1 = -rutgon1/gcd; rutgon2 = rutgon2/gcd; y = -((fa)-dc)/(db-ae); int rutgon3,rutgon4,gcd2;

rutgon3 = f*b-e*c;
rutgon4 = d*b-a*e;
gcd2 = __gcd(rutgon3,rutgon4);
rutgon3 = rutgon3/gcd2;
rutgon4 = rutgon4/gcd2;
if (rutgon3 <0 && rutgon4 <0) {
    rutgon3 = abs(rutgon3);
    rutgon4= abs(rutgon4);
}
if (rutgon1 <0 && rutgon2 <0) {
    rutgon1 = abs(rutgon1);
    rutgon2= abs(rutgon2);
}
cout<<"x="<&lt;rutgon3&lt;&lt;"/"<&lt;rutgon4&lt;&lt;endl;
cout<<"y="<&lt;rutgon1&lt;&lt;"/"<&lt;rutgon2&lt;&lt;endl;
xapxix = rutgon3;
xapxiy = rutgon1;
cout<<"gia tri cua x xap xi bang:"<&lt;fixed&lt;&lt;setprecision(4)&lt;&lt;xapxix/rutgon4<&lt;endl;
cout<<"gia tri cua y xap xi bang:"<&lt;fixed&lt;&lt;setprecision(4)&lt;&lt;xapxiy/rutgon2;
return;

} void ptbac2 () { long long a,b,c,delta,mauso,tuso,sq,i,mausobandau,b2,deltabandau; long double xapxix,xapxix2; cout<<"nhap he so a vao day:"<<endl; cin>>a; cout<<"nhap he so b vao day:"<<endl; cin>>b; cout<<"nhap he so c vao day:"<<endl; cin>>c; mausobandau = 2a; b2 = b; delta = bb-4ac; deltabandau = b2b2-4ac; mauso = 2a; if (delta > 0) { long long songoaican,nhantu,nhantu2,sotrongcan,kt,tuso2,mauso2; sq = sqrt(delta); if (delta== sq*sq) { songoaican = sqrt(delta); tuso = -b+songoaican; tuso2 = -b-songoaican; mauso2 = mauso; long long gcd2 = _gcd(mauso2,tuso2); long long gcd1 = _gcd(mauso,tuso); tuso = tuso/gcd1; tuso2 = tuso2/gcd2; mauso = mauso/gcd1; mauso2= mauso2/gcd2; cout<<"x1="<<tuso<<"/"<<mauso<<endl; cout<<"x2="<<tuso2<<"/"<<mauso2<<endl; xapxix = (-b2+sqrt(deltabandau)); xapxix2 = (-b2-sqrt(deltabandau)); cout<<"gia tri cua x1 xap xi bang:"<<fixed<<setprecision(4)<<xapxix/mausobandau<<endl; cout<<"gia tri cua x2 xap xi bang:"<<fixed<<setprecision(4)<<xapxix2/mausobandau;

    } else {
        for (i = delta; i>=1;i--) {
            int ktsocan = sqrt(i);
            if (ktsocan * ktsocan == i && delta%i == 0) {
                    kt = i;
                    break;
            }
        }
        if (delta % kt == 0) {
            songoaican = sqrt(kt);
            sotrongcan = delta/kt;
        } else {
            sotrongcan = delta % kt;
            songoaican = sqrt(kt);
        }
    nhantu = __gcd(b,songoaican);
    b = b/nhantu;
    songoaican = songoaican/nhantu;
    nhantu2 = __gcd(mauso,nhantu);
    nhantu = nhantu/nhantu2;
    mauso = mauso/nhantu2;
    b = b*nhantu;
    songoaican = songoaican*nhantu;
    if (mauso == 1) {
        int again = __gcd(b, songoaican);
    b = -b/again;
    songoaican = songoaican/again;
    }
    cout<<"x1="<<-b<<"+"<&lt;songoaican&lt;&lt;"sqrt("&lt;&lt;sotrongcan&lt;&lt;")"&lt;&lt;"/"<&lt;mauso&lt;&lt;endl;
    cout<<"x2="<<-b<<"-"<&lt;songoaican&lt;&lt;"sqrt("&lt;&lt;sotrongcan&lt;&lt;")"&lt;&lt;"/"<&lt;mauso&lt;&lt;endl;
    xapxix = (-b2+sqrt(deltabandau));
    xapxix2 = (-b2-sqrt(deltabandau));
    cout<<"gia tri cua x1 xap xi bang:"<&lt;fixed&lt;&lt;setprecision(4)&lt;&lt;xapxix/mausobandau<&lt;endl;
    cout<<"gia tri cua x2 xap xi bang:"<&lt;fixed&lt;&lt;setprecision(4)&lt;&lt;xapxix2/mausobandau;
    }
}
if (delta == 0) {
    a = a*2;
    int gcdkt = __gcd(a,b);
    a = a/gcdkt;
    b = -b/gcdkt;
    cout<<"x1=x2="<&lt;b&lt;&lt;"/"<&lt;a;
}
if (delta < 0) {
    cout<<"PHUONG TRINH VO NGHIEM";
}

} int main() { cout<<"caculator tinh he phuong trinh va phuong trinh bac 2"<<endl; cout<<"made by qixi :)"<<endl; cout<<"luu y: co the chuong trinh tinh sai ket qua mong cac ban thong cam :,) "<<endl; cout<<"he phuong trinh chon 1"<<endl; cout<<"phuong trinh bac 2 chon 2"<<endl; cout<<"phuong trinh bac 1 chon 3"<<endl; int choose,chon,d; d = 0; chon = 0; while (chon != 1) { cout<<"enter number here =>"<<endl; cin>>choose; if (choose == 1) { hpt(); chon = 1; break; } if (choose == 2) { ptbac2(); chon = 1; break; } if (choose == 3) { ptbac1(); chon = 1; break; } if (choose != 2 || choose !=1 || choose !=3) { d++; if (d<10) { cout<<"chon lai di bruh ._. "<<endl; }

    if (d >=10) {
        cout<<"dua khong vui dau chon lai di >:( "<&lt;endl;
    }
    if (d>=15) {
        cout<<"eo tinh cho nua bye fuck you"<&lt;endl;
        return 0;
    }
}
}
return 0;

}