1/x+x=3求x4+x2+1

题目详情

1/x+x=3求x4+x2+1

▼优质解答

答案和解析

X+1/X=3
X^2+1/X^2+2*X*1/X=9
X^2+1/X^2=7
X^4+1=7X^2
X^4=7X^2-1
X^4+X^2+1/X=7X^2-X^2+1/X
=6X^2+1/X=18X-6+1/X
X^2+1=3X

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