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Method of iterations

Equation: $ \left(20-3\,x^2\right)^{{{1}\over{5}}} =x$

Interval: $ \left[ 0 , 2 \right] $

Initial guess: $ x_0= 1 $

$ i $$ x_i = f(x_{i-1})$
01
11.762340347832317
21.605958551384787
31.650886285720413
41.63889395137278
51.642161984493864
61.641276347400902
71.641516718284842
81.641451505929893
91.641469199938066
101.641464399184041
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