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Puzzle of the Week #319 - Power Sum Palaver

June 11, 2021 Elliott Line

w + x + y + z = 2

w^2 + x^2 + y^2 + z^2 = 2

w^3 + x^3 + y^3 + z^3 = -4

w^4 + x^4 + y^4 + z^4 = -6

 

What is the value of: w^7 + x^7 + y^7 + z^7 ?

← Puzzle of the Week #320 - Triangle and RectanglePuzzle of the Week #318 - Highest Prime Factors →
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