A quintic equation?! Think differently
Algebra
Level
2
\[ \large {\begin{cases} {x-y=7} \\ {x^2+y^2 = 85} \end{cases} } \]
Let \(x\) and \(y\) be positive real numbers that satisfy the system of equations above. What is the value of \(x^5 - y^5 \)?
by
Denton Young