#include #include #include using namespace std; /* By Ixidot Extremely bad code. You can improve it if leave a link to original code IT CAN WORK WRONG I COULD MAKE MISTAKES I badly work with compex numbers in C++ so i replaced 2 with two cause complex(2) didnt work Cardano formule for polynomials of power 3 */ int main() { double a, b, c, d; double y1; complex y2; complex y3; complex i(0, 1.0); double p, q; double Q, alpha, beta; // cin 4 coefficients cin >> a >> b >> c >> d; p = (3 * a * c - b * b) / (3 * a * a); q = (2 * b * b * b - 9 * a * b * c + 27 * a * a * d); Q = (p / 3) * (p / 3) * (p / 3) + (q / 2) * (q / 2); cout << a << "x^3 + " << b << "x^2 + " << c << "x + " << d << " = 0" << endl; cout << "y^3 + " << p << "y + " << q << " = 0" << endl; cout << "Q = " << Q << endl; alpha = cbrt(-(q / 2) + sqrt(Q)); beta = cbrt(-(q / 2) - sqrt(Q)); complex _alpha = alpha; complex _beta = beta; complex two(2, 0); complex sqrt3(1.73205, 0); y1 = alpha + beta; y2 = -(_alpha + _beta) / two + i * (_alpha - _beta) / two * sqrt3; y3 = -(_alpha + _beta) / two - i * (_alpha - _beta) / two * sqrt3; cout << "y1 = " << y1 << endl << "y2 = " << y2.real() << " + " << y2.imag() << "i" << endl << "y3 = " << y3.real() << " + " << y3.imag() << "i"; }