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Question Number 66017 by Rio Michael last updated on 07/Aug/19

show that the equation xe^x =1 has a root between 0.5 and 0.6 starting  with 0.55 as a first approximate.

$${show}\:{that}\:{the}\:{equation}\:{xe}^{{x}} =\mathrm{1}\:{has}\:{a}\:{root}\:{between}\:\mathrm{0}.\mathrm{5}\:{and}\:\mathrm{0}.\mathrm{6}\:{starting} \\ $$$${with}\:\mathrm{0}.\mathrm{55}\:{as}\:{a}\:{first}\:{approximate}. \\ $$

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