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 20030204 18:41:19 