Yu 寫到:F(x)=3X2-4X-1=0
之二根α,β
(1)α2+β2(2)α3+β3(3)(α-β)2(4)α3-β3(5)α5+β5(6)α6+β6(7)α7+β7
Hint:
αn+1+βn+1= (αn+βn)(α+β) - αβ(αn-1+βn-1)
αn+1-βn+1= (αn-βn)(α+β) - αβ(αn-1-βn-1)
Yu 寫到:F(x)=3X2-4X-1=0
之二根α,β
(1)α2+β2(2)α3+β3(3)(α-β)2(4)α3-β3(5)α5+β5(6)α6+β6(7)α7+β7