Question

Find Root of Equation Using Newton’s Method:

a) Explain how we know that the given equation must have a root in the given interval.
b) Use Newtons method to approximate the root correct to six decimal places.

x^4-x^3-1=0 [1,2]

Answer 1

a) In other words, the equation 3x4−8x3+2=0 has a root in [2,3]

b) x≈2.630020

Explanation: