I'm finding it hard to find the solutions to this cubic equation:(adsbygoogle = window.adsbygoogle || []).push({});

1/2 x^3 - 2.025647693*10^14 x^2 + 8.102590772*10^11 x - 8.102590772*10^8 = 0

I'm looking for the smallest real positive solution but no matter what solver I use I keep getting only one root (the one of order of magnitude 10^14). There should be a root of the order of 10^{-3}but I don't know how to find it, nor why my usually trusty solvers are giving only 1 root.

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# Cubic equation solutions

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