If the equation $a{x}^2+bx+c=0,0<a<b<c$, has non real complex roots $z_1$ and $z_2$, then 

$A$ and $B$ start doing a work and complete it in $50$ days. However if they carry out the work individually ,A takes $20$ days more than $B$ to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.