Question

if a + 1/a = 17 then find a^4+1/a^2/a^2-3a+1​

Answer 1

a2−3a−1=0

=>a2−1=3a

=>a−a1=3

Squaring both sides,

=>(a−a1)2=32

=>a2+a12−2(a)(a1)=9

=>a2+a12=9+2

                           =11