Complex Numbers

[Prakash Kapadia]

Let X ={a+√-5 b : a,b ∈ Z}. An element x ∈ X is called special if there exists y ∈ X such that xy=1. The number of special elements in X is ?

[sundaresh sundaresh]

only two elements 1 and -1

[sundaresh sundaresh]

1 and -1 are the only special elements

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