None of this nursery school stuff - a proper maths problem. 25$ reward

[jason_t]

[ QUOTE ]
x^2+68-y^5
x=+/- (y^5-68)^1/2
y has to be >= 68^1/5
x can be any real number

[/ QUOTE ]

No, x can not be. I assure you that the OP meant, as he clarified later, for x and y to be natural numbers. Otherwise the problem is incredibly uninteresting and not related to any entire body of mathematics called Diophantine equations which is clearly what he intended.