Throw in some references
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* ["A Hybrid Procedure for Finding Real Points on a Real Algebraic Set"](https://doi.org/10.1007/s11424-019-8349-z)
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* ["Algorithms for computing triangular decomposition of polynomial systems"](https://doi.org/10.1016/j.jsc.2011.12.023)
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* ["When a system of real quadratic equations has a solution"](http://arxiv.org/abs/2106.08119)
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* This only decides whether there's a solution, rather than finding one, but it might have some tools we can use.
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* ["Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems"](https://doi.org/10.1002/cpa.21638)
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* This isn't the kind of quadratic system we have, but it the paper might have some tools we can use.
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