Question

If x = (square root 5) + 2, then x - 1/x is equal to *




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Answer 1

Answer:

x=√5 + 2

x-2 = √5

by squaring on both sides

(x-2) ^2 = √5

x^2 + 4 - 4x = 5

x^2-4x-1 = 0

x^2-1 = 4x

divide x on both sides

x-1/x = 4

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