(4tanα+1)(1-4tanβ)=17 ==> 1-16tanαtanβ+4(tanα-tanβ)=17 ==> 4(tanα-tanβ)=16(1+tanαtanβ) ==> t(anα-tanβ)/(1+tanαtanβ)=4==> tan(α-β)=4