求解: X^6=64, X={2 or -2}
Posted: 2019-06-22, 23:27
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)
(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)