x + y = 4

x^5 + y^5 = 464

find value of x and y

asked by guest
on Oct 25, 2024 at 9:26 am



You asked:

Given \( x + y = 4 \), \( {x}^{5} + {y}^{5} = 464 \), evaluate \( x \), \( y \).

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 \(i^2 = -1\).

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