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数学
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已知:x+x^-1=4,求x²+x^-2和x^4+x^-4的值
人气:128 ℃ 时间:2020-04-10 22:08:51
解答
(x+x^-1)^2=x²+x^-2+2x*x^-1=x²+x^-2+2=4^2=16,所以x²+x^-2=14
(x²+x^-2)^2=x^4+x^-4+2=14^2=196,所以x^4+x^-4=194
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