This is my first post, so I'm hoping that this is in the correct section
Use Newton's Method to find the two solutions
e^x=5.5x
https://webwork.math.lsu.edu/webwork...rob4image1.png
solve for
xleft=________
xright=_______
This is my first post, so I'm hoping that this is in the correct section
Use Newton's Method to find the two solutions
e^x=5.5x
https://webwork.math.lsu.edu/webwork...rob4image1.png
solve for
xleft=________
xright=_______
Newton's method - Wikipedia, the free encyclopedia
Using this formula with $\displaystyle f(x)=e^{x}-5.5x \implies f'(x)=e^{x}-5.5$
$\displaystyle x_{n+1}=x_n-\frac{e^{x_n}-5.5x_n}{e^{x_n}-5.5}$
Note that $\displaystyle f(0)$ is positive and $\displaystyle f(1)$ is negative so taking a guess set $\displaystyle x_0=0.5$
Then just iterate the series until you get the desired accuracry
Here is a excel worksheet it only take 2 interations to get 4 decimal places of accuracy.