HW problem #35

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#35

3w^2-w-24=0
3w^2-w=24
3(w^2-1/3w+(-1/6)^2)=24 +3(-1/6)^2
3(w^2-1/3w+1/36)=24+3/36
3(w-1/6)(w-1/6)=24+3/36
-1/6+-1/6=1/36
-1/6+-1/6=-2/6=-1/3
root(w-1/6)^2= root 289/36
w-1/6= = +- root 289/ root 36
w-1/6= +- 17/6
w=1/6 + 17/6 =18/6=3 OR -16/6= -8/3
{3, -8/3}