Pre Calculus

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find all solutions of the equation

1. x^3+27=0



2. x^3-8=0

  • Pre Calculus -

    27+0 i = 27 e^i(0) = 27 cos 0 + i sin 0

    27^(1/3)=3e^0 or 3e^i(2pi/3) or 3e^(4 pi/3)

    = 3
    or
    = 3 cos 120 + 2i sin 120
    = -1.5 + i sqrt 3
    or
    = -1.5 - i sqrt 3

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