x+y=4
$x^{5}$+ $y^{5}$=464
You asked:
Solve the system of equations:\[\begin{aligned}x + y &= 4\\{x}^{5} + {y}^{5} &= 464\end{aligned}\]
MathBot Answer:
The system of equations has \(4\) solutions.
\[x = 2 - \sqrt{2}, y = \sqrt{2} + 2\]\[x = \sqrt{2} + 2, y = 2 - \sqrt{2}\]\[x = 2 - \sqrt{10} i, y = 2 + \sqrt{10} i\]\[x = 2 + \sqrt{10} i, y = 2 - \sqrt{10} i\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).