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x4−4x3−1=0
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Solution
x≈−0.60123…,x≈4.01544…
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x4−4x3−1=0
Trouver une solution pour x4−4x3−1=0 par la méthode de Newton-Raphson:x≈−0.60123…
Appliquer une division longue:x4−4x3−1x+0.60123…=x3−4.60123…x2+2.76640…x−1.66325…
x3−4.60123…x2+2.76640…x−1.66325…≈0
Trouver une solution pour x3−4.60123…x2+2.76640…x−1.66325…=0 par la méthode de Newton-Raphson:x≈4.01544…
Appliquer une division longue:x3−4.60123…x2+2.76640…x−1.66325…x−4.01544…=x2−0.58578…x+0.41421…
x2−0.58578…x+0.41421…≈0
Trouver une solution pour x2−0.58578…x+0.41421…=0 par la méthode de Newton-Raphson:Aucune solution pour x∈ℝ