Can you design an equation with two unknowns and still find the value of one?

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