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MCQMediumJEE Main 2023 · 8 April, Shift 1Nature of Roots & Formation of Equations

Mathematics Question from JEE Main 2023 · 8 April, Shift 1

Let α,β,γ\alpha, \beta, \gamma be the three roots of the equation x3+bx+c=0x^3 + bx + c = 0. If βγ=1=−α\beta\gamma = 1 = -\alpha, then b3+2c3−3α3−6β3−8γ3b^3 + 2c^3 - 3\alpha^3 - 6\beta^3 - 8\gamma^3 is equal to:

  • A

    1558\frac{155}{8}

  • B

    2121

  • C

    1919

  • D

    1698\frac{169}{8}

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