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 June 24th, 2019, 09:58 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 547 Thanks: 83 Elementary equation Given equation $\displaystyle x=x^2$ which has two real solutions 0 and 1. Solve the equation using approximation (Newton’s method). Can anyone post it in short-terms (also other approximations)? Last edited by skipjack; June 24th, 2019 at 01:04 PM.
 June 24th, 2019, 01:00 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,819 Thanks: 2158 Newton-Raphson method: if $x$ is your first approximation (nearer to 0 or 1 than to 1/2), use $x^2/(2x - 1)$ as your next approximation. Thanks from topsquark and idontknow

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