A geometric progression b, bh, bh², bh³ (h ∉ Q̄) whose span contains 1, u and ū, for u ∉ Q̄ with uū algebraic, also contains u², ū² or 1/(u − a) for some non-zero algebraic a

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A geometric progression b, bh, bh², bh³ (h ∉ Q̄) whose span contains 1, u and ū, for u ∉ Q̄ with uū algebraic, also contains u², ū² or 1/(u − a) for some non-zero algebraic a · Prove2Me