Question

m²-m-1=0,则m的5次-5m-3的值为

Answer 1

您好：

m²-m-1=0

m²-1=m

(m²-1)²=m²

m^4-2m²+1=m²

m^4+1=3m²

m^5-5m-3

=m(m^4+1)-6m-3

=3m³-6m-3

=3m(m²-1)-3m-3

=3m²-3m-3

=3(m²-m-1)

=0

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