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June 24th, 2019, 09:58 AM   #1
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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.
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June 24th, 2019, 01:00 PM   #2
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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.
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