MathDB
Simultaneous equations with x,y,z,t

Source: Baltic Way 2000

December 17, 2010
Vietaalgebrapolynomialquadraticssystem of equationsalgebra proposed

Problem Statement

Find all real solutions to the following system of equations: {x+y+z+t=5xy+yz+zt+tx=4xyz+yzt+ztx+txy=3xyzt=−1\begin{cases} x+y+z+t=5\\xy+yz+zt+tx=4\\xyz+yzt+ztx+txy=3\\xyzt=-1\end{cases}
Back to ProblemsView on AoPS