求解： X^6=64, X={2 or -2}

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求解： X^6=64, X={2 or -2}

(x^6 - 64) = (x²-2) * (x²+2) * (x⁴+4x²+16) = 0

x⁴+4x²+16 = x⁴+8x²+16-4x² = (x²+4)²-4x² =(x²-2x+4)(x²+2x+4)

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Code: Select all

X=2 
x=-2