For the following equation,
eqn:=1.35150599852371*10^10 = 2.45634141630387*10^7*x + 50.7216626470812*x^4 + 6.20132964743411*10^7*x^2 + 1.26328819483651*10^10 + 112528.172146835*x^3
using solve gives 4 real solutions
3.56789020177967, -3.99013603029896, -1017.86074450970, -1200.25966528805
Using RealDomain[solve] gives an error:
RealDomain[solve](eqn,x,allsolutions=true);
Error, (in assuming) when calling 'RootOf'. Received: 'the input range -1200.259665 .. -1200.259665 is invalid'
This is partly a bug alert, but any insight would be appreciated.