Question

If x = 9 - 4√5 , find x+

1/x

.

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Answer 1

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Answer 2

Answer:

x = 9 - 4 √5

1 / x = 1 / 9 - 4√5

= 1/ 9- 4 √5 × 9 + 4 √5 / 9 + 4 √5

= 9 + 4 √5 / (9)^2 - (4 √5)^2

= 9+ 4 √5 / 81 - 80

= 9 + 4 √5

x + 1÷x = 9 - 4 √5 + 9 + 4 √5

= 9 + 9

= 18

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