How to solve a cubic with 2 square terms multiplie by each other?

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Matthew
Matthew 2013-1-14
I am trying to solve G^3 -G^2F^2 +1 =0,
I have F values varying between 1.5 and 4. Normally I would do s=(1 -1 0 1) and then roots of s but i do not know how to display the term shown where the question marks are inserted.(s=(1 -1*(??) 0 1)
Any help is much appreciated.

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