When is the inequality $x^4<8x^2+9$ satisfied?

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The inequality \[x^4<8x^2+9\] is satisfied precisely when \[\text{(a)}-3<x<3 \quad \text{(b)} \quad 0<x<4 \quad \text{(c)} \quad 1<x<3 \quad \text{(d)}-1<x<9 \quad \text{(e)}-3<x<-1.\]