Solve the problem.Use Newton's method to estimate the solutions of the equation . Start with  for the right-hand solution and with  for the solution on the left. Then, in each case find x2.

What will be an ideal response?


f(x) = 4x - 4x2 + 3, f '(x) = 4 - 8x

Right-hand solution:

 x= 1.5
xn + 1 = xn -  = 
therefore x2 = 1.5000

Left-hand solution:

 x= -1
xn + 1 = xn -  = 
therefore x2 = -0.5833

Mathematics

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