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A329998
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Decimal expansion of the solution of 1/sqrt(x-1) + 1/sqrt(x+1) = 1.
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3
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4, 1, 8, 1, 1, 2, 5, 4, 4, 5, 2, 9, 2, 6, 7, 4, 3, 0, 0, 5, 4, 4, 5, 8, 2, 5, 6, 0, 2, 1, 1, 8, 9, 8, 0, 8, 0, 6, 0, 8, 5, 6, 6, 3, 6, 3, 0, 8, 9, 7, 2, 1, 1, 5, 2, 5, 6, 7, 8, 2, 0, 7, 6, 9, 6, 6, 9, 9, 7, 5, 2, 6, 2, 4, 4, 2, 6, 9, 6, 2, 6, 1, 3, 8, 4, 9
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OFFSET
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1,1
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LINKS
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FORMULA
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x^4 - 4 x^3 - 2 x^2 + 4 x + 5 = 0.
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EXAMPLE
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x = 4.1811254452926743005445825602118...
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MATHEMATICA
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r = x /. FindRoot[1/Sqrt[x - 1] + 1/Sqrt[x + 1] == 1, {x, 2, 10}, WorkingPrecision -> 210]
Plot[1/Sqrt[x - 1] + 1/Sqrt[x + 1] - 1, {x, 1, 6}]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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