SOLUTION: e^x-x=2

Algebra.Com
Question 1002272: e^x-x=2
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!


If you haven't studied the Lambert w-function, 
then the only way to solve this is with technology,
such as with a graphing calculator.

Draw the graph of the left side  and the
graph of the right side , and find where they
intersect



They intersect at

(-1.8414056604369606378...,2) and 

(1.1461932206205825852...,2)

So the two solutions are approximately

-1.8414056604369606378... and 1.1461932206205825852...

Edwin

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