2016 Guts #23
Source:
August 14, 2022
2016Guts Round
Problem Statement
Find all quadruples of real numbers that satisfy the system of equations:
\begin{align*}
a+4b+8c+4d&=53\\
3a^2+4b^2+12c^2+2d^2&=159\\
9a^3+4b^3+18c^3+d^3&=477.
\end{align*}
Source: