Use Newton's Method to Approximate the Indicated Root Of $x ^ { 4 } + x - 4 = 0$

question 5

Short Answer

Use Newton's method to approximate the indicated root of $x ^ { 4 } + x - 4 = 0$ in the interval $[ 1,2 ]$ , correct to six decimal places.
Use $x _ { 1 } = 1.5$ as the initial approximation.

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Definitions:

Nissl Bodies

Structures within the cytoplasm of neurons that are associated with ribonucleic acid (RNA) and protein synthesis.

Rough Endoplasmic Reticulum

A network of tubular membranes within the cytoplasm of the cell studded with ribosomes involved in the synthesis of proteins.

Enteric Nervous System

Known as the "second brain," this extensive mesh-like system of neurons controls the function of the gastrointestinal system.

Digestive Tract

The series of hollow organs joined in a long, twisting tube from the mouth to the anus, where digestion of food occurs.