已知xx-5x+1=0,求xxxx+1/xx的值
1个回答
x^2-5x+1=0
方程两边同除以x
x-5+1/x=0
x+1/x=5
(x^4+1)/x^2
=x^2+1/x^2
=(x+1/x)^2-2
=5^2-2
=25-2
=23
方可以用“^”表示
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