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5 June, 15:23

What are the real and complex solutions of the polynomial equation x^3-216=0

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  1. 5 June, 17:15
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    A^3-b^3 = (a-b) (a^2+ab+b^2)

    x^3-216=0

    x^3-6^3=0

    (x-6) (x^2+6x+6^2) = 0

    x-6=0 or x=6

    or x^2+6x+36=0

    x={-6+-sqrt (6^2-4*1*36) }/2*1

    ={-6+-6sqrt (1-4) }/2

    =-3+-sqrt (-3)

    =-3+-iota sqrt 3
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