Question #e772c

1 Answer
Jan 21, 2015

I agree with Welder and also I add that I was not able to find an easy way out to this one! Probably there is an easy way to solve it but I didn't find it.

What I tried was to use a "Brute Force" approach...
Basically, I tried values of #x# in #e^x+x# until I got the result, #5#!
I also cheated because I used Excel to do it for me!!!

As you can see, I built a table in Excel trying to get the required value:
enter image source here
In the first column are listed values of #x# I've chosen to get as near as possible to #5# starting from #1.30654# and incrementing it by #0.000001#. In the second column you have the corresponding results calculated from #e^x+x#.
The best result was reached for: #x=1.306559#

Well, I hope it helps...