Question

If x+1/x=5 then find:

x²+1/x²

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(x + 1)/x = 5

x/x + 1/x = 5

1 + 1/x = 5

1/x = 5 - 1 = 4

x = 1/4

Now,

(x^2 + 1)/x^2 = [(1/4)^2 + 1]/(1/4)^2

=) (1/16 + 1)1/16

=) 17/16/1/16

=) 17 × 16/16 = 17