Ze wzoru Balmera proszę o wyznaczenie wartości n :)

[latex]frac{1}{lambda} = R(frac{1}{2^{2}}-frac{1}{n^{2}}) |cdotfrac{1}{R}\\frac{1}{Rlambda} = frac{1}{4}-frac{1}{n^{2}}\\frac{1}{Rlambda} = frac{n^{2}-4}{4n^{2}}\\Rlambda(n^2}-4) = 4n^{2}\\R lambda n^{2}-4Rlambda = 4n^{2}\\Rlambda n^{2}-4n^{2}=4Rlambda\\n^{2}(Rlambda-4) = 4Rlambda} /:(Rlambda-4)\\n^{2} = frac{4Rlambda}{Rlambda-4}\\n = 2sqrt{frac{Rlambda}{Rlambda-4}}}[/latex]