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Add Square Roots, Get Real(m) (Posted on 2007-05-06) Difficulty: 3 of 5
Determine all real m satisfying this equation:

√(m - 1/m) + √(1 - 1/m) = m

.

See The Solution Submitted by K Sengupta    
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re: An answer | Comment 2 of 3 |
(In reply to An answer by Dej Mar)

... which is phi, the golden ratio. (1.61803398874989...)

A graph of the lhs against the rhs indicates the answer is unique, with the curve tangent to the line at one point.

Edited on May 6, 2007, 9:43 pm
  Posted by Charlie on 2007-05-06 21:41:23

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