You can put this solution on YOUR website! w^4-14w^2-2=0
w^2=(14+-sqrt[-14^2-4*1*-2])/2*1
w^2=(14+-sqrt(196+8])/2
w^2=(14+-sqrt204)/2
w^2=(14+-14.283)/2
w^2=(14+14.283)/2
w^2=28.283/2
w^2=14.14
w=sqrt14.14
w=3.76 ans.
w^2=(14-14.283)/2
w^2=-.283/2
w^2=-.1414
w=sqrt-.1414
w=.376i ans.