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Roots of Equations In More Than One Variable

Posted by Beetle B. on Thu 28 October 2021

$\begin{equation*} 2*x^{2}-xy+y^{2}=4 \end{equation*}$

$\begin{equation*} 4*x^{2}-5xy+3y^{2}=6 \end{equation*}$

Manipulate the two equations so that there is no constant term, and then factorize to get $(2x-y)(x-3y)=0$ .

solve([x^3==1], x)

[x == 1/2*I*sqrt(3) - 1/2, x == -1/2*I*sqrt(3) - 1/2, x == 1]