This is also known as the Newton-Raphson Method. In this case, f(x) = x^2 - 17, f'(x) = 2x and the x0 = 4. https://en.wikipedia.org/wiki/Newton%27s_method …
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It scary to think that if given a graph,paper and pen I could solve this
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Edmond Halley gave formula involving 2nd derivative. Halley's method is more complicated but it converges faster than Newton's method.pic.twitter.com/Da18t6kVKE
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An even quicker method ends at step 1.

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It was found in "Bakhshali manuscript" in India from 3rd century.https://twitter.com/Baroodibhaiyya/status/1002146316753846272 …
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Newton-Raphson FTW
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Looks like damping the function f(x) = sqrt(x) so it converges, then iterating to find the fixed point. A fundamental technique taught early in
#sicp
(fixed-point (average-damp (...))
See: http://www.billthelizard.com/2010/08/sicp-145-computing-nth-roots.html …Thanks. Twitter will use this to make your timeline better. UndoUndo
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This is also half of the Newton iteration method which if you collect enough public keys from devices can quickly crack the weak keys where any two share the same prime factor. Hint, never trust a cheap embedded device to generate secure RSA key-pairs.
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i say another simple method. . take approx squre root of 17 i. e 4 . . Divide 17/4 = 4.25 . then take avg of 4.25 and 4, u will get 4.125 simple?
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You lost me at 1
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