Koliko ima uređenih parova
prirodnih brojeva za koje je izraz
?
How many ordered pairs
of natural numbers are there such that the expression
is a natural number?
[lang=hr]
Koliko ima uređenih parova $(k,l)$ prirodnih brojeva za koje je izraz $\frac{2027^2}{(k+1)(l+1)+\frac{(k-\frac{1}{2})(k+\frac{1}{2})-\frac{1}{4}+(l-\frac{1}{2})(l+\frac{1}{2})-\frac{1}{4}}{2}}\in\mathbb{N}$ ?
[/lang]
[lang=en]
How many ordered pairs $(k, l)$ of natural numbers are there such that the expression $\frac{2027^2}{(k+1)(l+1)+\frac{(k-\frac{1}{2})(k+\frac{1}{2})-\frac{1}{4}+(l-\frac{1}{2})(l+\frac{1}{2})-\frac{1}{4}}{2}}$ is a natural number?
[/lang]
