/* Analysing quadratic equations General equation: y = ax² + bx + c Instruction: Enter three numbers Kindly inform me if there is any error Some good programs on finding the roots: ~ https://code.sololearn.com/cMR4UJtYJBv2/#java ~ https://code.sololearn.com/WgyyZtgNdi5K/#js ~ https://code.sololearn.com/cPKh61hU0144/#java ↑ ( Check them out! Try look for more in code playground! ) */ #include #include using namespace std; int main() { double a,b,c,i,s,x,xturn,x1,x2,yturn; cin>>a>>b>>c; /* test input a=3; b=-5; c=-7; cout<<"Enter a: "; cout<> a; cout<<"Enter b: "; cout<> b; cout<<"Enter c: "; cout<> c; */ // print equation if(a==0 && b==0) { cout<<"The equation is y = "<< "<<(char)254<<" |\n"; cout<<"| |\n --------------\n __| |__/\n / |____|\n / \\\n \\ /\n"; } else if(a==0 && b!=0) { if(b==1) cout<<"The equation is y = x"; else if(b==-1) cout<<"The equation is y = -x"; else cout<<"The equation is y = "<0) cout<<"+"<0) cout<<"+"<0) { cout<<"The equation has two distinct real roots\n"; x1 = (- b + sqrt(s)) / (2*a); x2 = (- b - sqrt(s)) / (2*a); cout<<"The roots of the equation are "<< x1 << " and " << x2 << endl; cout<<"x-intercepts are "<< x1 << " and " << x2 << endl; cout<<"y-intercept is "<< c << endl; } else if(s==0) { cout<<"The equation has one real root\n"; x = - b / (2*a); cout<<"The root of the equation is "<< x << endl; cout<<"x-intercepts is "<< x << endl; cout<<"y-intercept is "<< c << endl; } else if(s<0) { cout<<"The equation has no real root\n"; x = - b / (2*a); i = sqrt(- s) / (2*a); cout<<"The roots of the equation are "; if(i>0) cout<< x << "+"<< i << "i and " << x << "-"<< i <<"i\n"; else if(i<0) cout<< x << "+"<< -i << "i and " << x << i <<"i\n"; cout<<"The equation has no x-intercept\n"; cout<<"y-intercept is "<< c << endl; } // determine turning point and nature of turning point xturn = b / (2*a); yturn = c - b*b / (4*a); if(a<0) cout<<"maximum point"; else cout<<"minimum point"; cout<<" is ( "<< -xturn << ", " << yturn << " )" << endl; } return 0; } /* Creator: LKH Date of latest modification: 19 Oct 2017 */

analysing quadratic equations