Question

p^2-3p+1=0 find p^2+1/p^2

Answer 1

given ,
p^{2}-3p+1=0
p^{2}=3p-1
so,
p^{2}+1/p^{2}
=3p-1+1/3p-1
(3p-1)^{2}+1/3p-1
9p^{2}+1-6p+1/3p-1
9p^{2}-6p+2/3p-1