Let α, β be the roots of the equation x²-x+2=0 with Im(α)≥Im(β). Then α⁶ + α⁴ +β⁴ - 5α² is equal to

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Let α and β be two roots of the equation x2 + 2x + 2 = 0, then α^15 + β^15 is equal to: Let α and β be two roots of the equation x2 + 2x + 2 = 0, then α^15 + β^15 is equal to:
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Let α and β be two roots of the quadratic equation x^2+2x+2=0.then (alpha)^15 +(beta)^15|α^15+β^15 = Let α and β be two roots of the quadratic equation x^2+2x+2=0.then (alpha)^15 +(beta)^15|α^15+β^15 =