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I tried to solve the question on the graph and got two roots also I used Newton Raphson rule but a general proof is required. Any kind suggestions will be appreciated. Also the root = √√(1+√√(1+√√(1+√√(1+... hence when I solved this on my calculator I got the root but I don't know whether there is a closed form for it or not

John Bentin
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Angad
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  • There is a closed form, wolfram alpha will show it to you, if you click the "exact form" button. They're pretty nasty, though. – Joppy May 03 '17 at 10:48
  • See this: https://math.stackexchange.com/questions/785/is-there-a-general-formula-for-solving-4th-degree-equations-quartic – larry01 May 03 '17 at 10:55

1 Answers1

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According to wolfram alpha, exact form of this solutions are

enter image description here

The former is positive solution.

this_is_a_banana
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