Question

How would you solve the following?

0.2052=x/(e^x)

The answer is 2.500, but I do not know how to solve the equation to get the answer

Answer 1

Use Newton-Rhapson method for finding roots.

Answer 2

What is the Newton-Rhapson method?

Answer 3

You could graph y=\(x e^{-x} \)
and see where it intersects y= 0.2052

The reality is that you use numerical methods to solve this kind of equation.
or use wolfram
http://www.wolframalpha.com/input/?i=0.2052%3Dx%2F%28e%5Ex%29

Answer 4

Here's a description of Newton-Raphson:

http://web.mit.edu/10.001/Web/Course_Notes/NLAE/node6.html

Answer 5

Thank you all :)