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Solve the Problem 4x22x+1=0- 4 \mathrm { x } ^ { 2 } - 2 \mathrm { x } + 1 = 0

question 103

Essay

Solve the problem.
-Use Newton's method to estimate the solutions of the equation 4x22x+1=0- 4 \mathrm { x } ^ { 2 } - 2 \mathrm { x } + 1 = 0 . Start with x1=0.5\mathrm { x } _ { 1 } = 0.5 for the right-hand solution and with x0=2\mathrm { x } _ { 0 } = - 2 for the solution on the left. Then, in each case find x2\mathrm { x } _ { 2 } .


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