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s^4+2ks^3+2s^2+(1+k)s+2=0

first (1+k)must be >0 and 2K must be >0 then i construct routh array

to get 3k-1/2k as a coefficent of s^2 and

(3k-1)/2k *(1+k) - 4k as a coefficent of s .

then k must be>1/3 and K>2.15 and K>-0.154 then k must be >2.15 ?

is this right or there is something wrong??