Solve the Problem $5 x ^ { 5 } - 2 x - 3 = 0$

question 285

Essay

Solve the problem.
-Use Newton's method to estimate the one real solution of the equation $5 x ^ { 5 } - 2 x - 3 = 0$ . Start with $x _ { 1 } = 1$ . Then, in each case find $x _ { 2 }$ .

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