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已知x2-3x=1 =0,求x3+1/x3
人气:299 ℃ 时间:2020-03-31 22:15:37
解答
x2-3x+1 =0
除以x得 x-3+1/x=0
x+1/x=3
x³+1/x³=(x+1/x)(x²-1+1/x²)
=3×[(x²+2+1/x²)-1-2]
=3×[(x+1/x)²-3]
=3×﹙3²-3)
=18
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