A Nice Mathematics algebra problem | Olympiad Question | Exponential problem | x=?,y=?

[@HuzaifaKhan-m3i]

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[@NaeemKhan-q6w1v]

Good

[@AfsarSaid-f8s]

Good question sir waheeb SAB 🎉❤

[@SidneiMV]

(x + y)³ = 10√10
x + y = √10
xy(x + y) = 2√10
xy = 2
x + 2/x = √10
x² - x√10 + 2 = 0
x = (√10 ± √2)/2
(x, y) = [(√10 + √2)/2, (√10 - √2)/2]
(x, y) = [(√10 - √2)/2, (√10 + √2)/2]

[@Ismailorakzai-u1m]

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