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Equation games (Posted on 2002-07-03) Difficulty: 2 of 5
Can you design an equation with two unknowns and still find the value of one?

See The Solution Submitted by Dulanjana    
Rating: 3.3750 (8 votes)

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No Subject | Comment 12 of 24 |
x and y real,

x^2 + [y^2]! = 1

where f(z) = [z] is the greatest integer function and
(z) = z! denotes the factorial function ( product of all integers 0 < N ≤ z, 0! being 1 by definition )

Because n! > 1 for all n > 1, and x^2 is positive, x must be 0. ( y can be any of the values between -1 ≤ y ≤ 1 )

  Posted by Mr_Noem on 2003-02-04 18:41:19
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