Olympiad Mathematics |Brazilians try this

[@robertovaladao3136]

Very good!

[@iyhamcool9153]

I squared both sides twice and I got x⁷ = (128²)² x = ⁷√(128²)² x = 16 Way easier to find the only real solution, but idk how to find the 6 complex solutions

[@iyhamcool9153]

Maybe factorising x⁷ - 268 435 456 = 0 x⁷ - 16⁷ = 0 (x−16)(x⁶ +16x⁵ +16²x⁴+16³x³+16⁴x²+16⁵x+16) = 0 I am way too lazy to continue 😭

[@prollysine]

x^(7/4) , 128=2^7 , x^(7/4)=2^7 , ()^(4/7) , x=(2^7)^(4/7) , x=2^4 , x=16 ,

[@dardoburgos3179]

X= 16.