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Question-69645




Question Number 69645 by ahmadshahhimat775@gmail.com last updated on 26/Sep/19
Answered by Rasheed.Sindhi last updated on 26/Sep/19
(√(x+(√(x+(√(x....))))))=2  ((√(x+(√(x+(√(x....)))))))=(2)^2   x+(√(x+(√(x+(√(x...))))))=4  x+2=4  x=2
$$\sqrt{{x}+\sqrt{{x}+\sqrt{{x}….}}}=\mathrm{2} \\ $$$$\left(\sqrt{{x}+\sqrt{{x}+\sqrt{{x}….}}}\right)=\left(\mathrm{2}\right)^{\mathrm{2}} \\ $$$${x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}…}}}=\mathrm{4} \\ $$$${x}+\mathrm{2}=\mathrm{4} \\ $$$${x}=\mathrm{2} \\ $$

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