Trigonommetric substitution

Algebra Level 4

Seja y ∈ (0,1), sabendo que o maior valor de x ∈ ℝ.para que a equação: x + y³ = ∛(x-y) tenha alguma solução. Calcule o valor de 4x - 2y.


Moderator's edit: Possible translation

Let \(y\) be in the interval \((0,1)\). Knowing that the greatest real value of \(x\) satisfy the equation: \(x + y^3 = \sqrt[3]{x-y} \) has a solution, calculate the value of \(4x - 2y\).

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