### Home > APCALC > Chapter 4 > Lesson 4.5.1 > Problem 4-173

4-173.

Use the equation for Newton’s Method in the Math Notes box in this lesson to approximate the root of in the interval

First find the real root by solving:

Next find .

Start employing Newton's method. Stop when the approximate root and the real root agree to three decimal places.

Check your work as you go:

Remember to stop when the approximate root and the real root agree to three decimal places.