Question

已知x分之x²-x+1=5,求x²分之x四次+x²+1的值

Answer 1

(x²-x+1)/x=5

x-1+1/x=5

x+1/x=6

那么

(x^4+x²+1)/x²

=x²+1+1/x²

=(x+1/x)²-1

=6²-1

=36-1

=35

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