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Find all 6 pairs of solutions
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Solve the system of equations
$\begin{cases}
x^2+y^2=61, \\
x^3+y^3=91.
\end{cases}$.
There are 6 pairs of solutions, including complex numbers.
A method of variable substitutions is used ($u=x+y$ and $v=xy$) and its advantages for solving symmetric equations is discussed.
$\begin{cases}
x^2+y^2=61, \\
x^3+y^3=91.
\end{cases}$.
There are 6 pairs of solutions, including complex numbers.
A method of variable substitutions is used ($u=x+y$ and $v=xy$) and its advantages for solving symmetric equations is discussed.
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