the question was to find the roots of this equation

when two of the roots equalled zero.

so i let the roots be

therefore

i used the standard sum of roots, product of roots etc technique to work out simultaneous equations and i ended up with this result

i'm not realli sure if those equations are correct but if they are, i dont realli no how to proceed to figure out gamma and alpha

if anyone could help me, i would realli realli appreciate it !!! thankyou !!