SOLUTION: find "b" when the reciprocal of b-2 is b+2

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Question 41769: find "b" when the reciprocal of b-2 is b+2
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
b-2+=+1%2F%28b+%2B+2%29
or %28b-2%29%28b%2B2%29=1
or b%5E2+-+2%5E2+=+1
or b%5E2+=+1%2B4+=+5
Therefore either, b+=+sqrt%285%29 or b+=+-sqrt%285%29