Problem 849

Use Newton’s method to estimate the two zeros of the function f(x) = x4 + 2x – 3. Start with x0 = -1 for the left-hand zero and with x0 = 1 for the zero on the right. Then, in each case, find x2.

Determine x2 when x0 = -1.

x=……?

Determine x2 when x0 = 1.

x2   = …..?

 

Solution:-

 

Determine x2 when x0 = -1.

x2 = -2.3208

Determine x2 when x0 = 1.

x2 = 1

 

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