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数学
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已知x²-4x-1=0 求x³-1÷x³
人气:303 ℃ 时间:2020-01-27 19:21:36
解答
x²-4x-1=0
两边除以x得
x -4 -1/x=0
∴x-1/x=4
x³-1/x³
=(x-1/x)(x²+1+1/x²)
=(x-1/x)[(x-1/x)²+3]
=4×(4²+3)
=76
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