SOLUTION: If the reciprocal of (x + 1) is (x � 1), find all possible values of x.

SOLUTION: If the reciprocal of (x + 1) is (x � 1), find all possible values of x.

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Question 256788: If the reciprocal of (x + 1) is (x � 1), find all possible values of x.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Given, the reciprocal of (x + 1) is (x � 1)
1/(x+1) = x-1
1 = (x-1)(x+1)
1 = x^2-1
2 = x^2
x = + or - Sqrt 2
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