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    • https://espanol.libretexts.org/Matematicas/Calculo_diferencial_CLP-1_(Feldman_Rechnitzer_y_Yeager)/06%3A_Ap%C3%A9ndice/6.03%3A_C_-_Hallazgo_de_Ra%C3%ADz/6.3.04%3A_C.4_El_m%C3%A9todo_secante
      \ begin {alinear*} x_ {n+1} & =\ frac {x_ {n-1} f (x_n) - x_n f (x_ {n-1})} {f (x_n) -f (x_ {n-1})} =\ frac {x_ {n-1} [x_n^2-2] - x_n [x_ {n-1} ^2-2]} {x_n^2-x_ {n-1} ^2}\\ & =\ frac {x_ {n-1} x_n [x_...\ begin {alinear*} x_ {n+1} & =\ frac {x_ {n-1} f (x_n) - x_n f (x_ {n-1})} {f (x_n) -f (x_ {n-1})} =\ frac {x_ {n-1} [x_n^2-2] - x_n [x_ {n-1} ^2-2]} {x_n^2-x_ {n-1} ^2}\\ & =\ frac {x_ {n-1} x_n [x_n-x_ {n-1}] +2 [x_n-x_ {n-1}]} {x_n^2-x_ {n-1} ^2}\\ & =\ frac {x_ {n-1} x_n+2} {x_ {n-1} +x_n}\ final {alinear*}

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