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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 shortterms (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 
NewtonRaphson 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.


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