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Sage solver : approximate solution

I have the simple following equation :

res = solve([1.00000000000000*x8 == 0.923879532511287,0.414213562373096*x8 == 0.382683432365089],x8,solution_dict=True)

However, the solver will return an empty solution because the value do not quite exactly match (there is a 1e-15 difference that is due to numerical errors of the 53 bits mantissa precision). Is there a way to ask the solver to get an approximate solution instead?