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If x + 1/ x = 2 then x^99 + 1/x^99 = A. 1 B. 2 C. 3 D. 4

If x + 1/ x = 2 then x^99 + 1/x^99 =
A. 1
B. 2
C. 3
D. 4

Grade:12th pass

3 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Two ways of solving

First simple transform given eqn to quadratic eqn x= 1

So x exp (99) + (1/x ) exp(99) = 2

Second way

Find (x^2) + (1/x^2) , then (x^3)+(1/x^3) and so on

All will result in 2

Regards
Bimal kumar Milk
29 Points
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