A Nice Mathematics algebra problem || Olympiad Question | x=?

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[@SidneiMV]

a⁴b⁴(a + b) = 42 a³b³(a³ + b³) = 90 find E = 14(a³ + b³) + a³b³/7 a⁴b⁴(a + b) = 42 a³b³(a + b)(a² - ab + b²) = 90 (a² - ab + b²)/ab = 15/7 a/b + b/a = 22/7 a² + b² = 22ab/7 (a + b)² = 36ab/7 => a + b = (6/7)√(7ab) a⁴b⁴(a + b) = 42 a⁴b⁴√(7ab) = 49 a⁹b⁹ = 7³ a³b³ = 7 a³b³(a³ + b³) = 90 => a³ + b³ = 90/(a³b³) = 90/7 E = 14(a³ + b³) + a³b³/7 E = 14(90)/7 + 7/7 *E = 181*

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