Question

x = 9+4 √5 find x+1/x

Answer 1

X=9+4 √5

1/x=1/9+4 √5

=9-4√5/(9)^2-(4√2)^2

=9-4√5

X+1/x=9+4 √5+9-4√5

=18

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Answer 2

x = 9 + 4√5

x + 1/x
= 9+4√5 + 1 / 9+4√5
= (9+4√5)² + 1/9+4√5
= (81+80+72√5+1)/9+4√5
= (162+72√5)/9+4√5
= 18(9+4√2)/(9+4√2)
= 18