▁ ▁It ▁is ▁a ▁common ▁mis con ception ▁that ▁Card ano ▁introduced ▁complex ▁numbers ▁in ▁solving ▁cub ic ▁equations . ▁Since ▁( in ▁modern ▁notation ) ▁Card ano ' s ▁formula ▁for ▁a ▁root ▁of ▁the ▁polynomial ▁x 3   +   px   +   q   ▁is ▁ ▁square ▁roots ▁of ▁negative ▁numbers ▁appear ▁naturally ▁in ▁this ▁context . ▁However , ▁q 2 / 4   +   p 3 / 2 7 ▁never ▁happens ▁to ▁be ▁negative ▁in ▁the ▁specific ▁cases ▁in ▁which ▁Card ano ▁applies ▁the ▁formula . ▁ ▁Notes ▁ ▁Bibli ography ▁ ▁External ▁links ▁. pdf ▁of ▁Ar s ▁Mag na ▁( in ▁Latin ) ▁Card ano ' s ▁bi ography ▁ ▁Category : Math emat ics ▁books ▁Category : History ▁of ▁mathematics ▁Category : 1 5 4 5 ▁books ▁Category : 1 5 4 5 ▁in ▁science <0x0A> </s> ▁The ▁Mac ed onian ▁Regional ▁Le agues ▁() ▁is ▁the ▁fourth ▁and ▁fifth - high est ▁football ▁competition ▁in ▁the ▁North ▁Mac ed onia . ▁ ▁Municipal ▁football ▁associations ▁ ▁There ▁is ▁the ▁ 2 8 ▁municipal ▁football ▁associations ▁which ▁acting ▁within ▁the ▁Football ▁Federation ▁of ▁Mac ed onia . ▁ ▁Prom otion ▁to ▁the ▁Third ▁League ▁- ▁North ▁▁ ▁OF S ▁Gaz i ▁B aba ▁ ▁OF S ▁K is ela ▁V oda ▁ ▁OF S ▁K uman ovo ▁ ▁OF S ▁Lip k ovo ▁ ▁OF S ▁Sk op je ▁ ▁Prom otion ▁to ▁the ▁Third ▁League ▁- ▁Center ▁▁ ▁OF S ▁K av ad