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Solve \(\sqrt{4 + \sqrt{4 + \sqrt{4 - x}}} = x\)

 Dec 19, 2019
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Solve for x:
sqrt(sqrt(sqrt(4 - x) + 4) + 4) = x

sqrt(sqrt(4 - x) + 4) = x^2 - 4

Using Newton-Raphson iteration method, it readily gives the value of x as:
x = 2.50701864409

 Dec 19, 2019

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