阅读材料:某同学求解sin18°的值其过程为:设α=18°,则5α=90°,从而3α=90°-2α,于是cos3α=cos(90°-2α),即cos3α=sin2α,展开得4cos 3 α-3cosα=2sinαcosα,∴cosα=cos18°≠0,∴4cos 2 α-3=2sinα,化简,得4sin 2 α+2sinα-1=0,sinα= -1± 5 4 ,∵sinα=sin18°∈(0,1),∴sinα= -1+ 5 4 (sinα= -1- 5 4 <0舍去),即sin18°= -1+ 5 4 .试完成以下填空:设函数f(x)=ax 3 +1对任意x∈[-1,1]f(x)≥0成立,则实数a的值为______.