SOLUTION: solve: x^((x-1)^2) = 2x+1

Question 1143661: solve: x^((x-1)^2) = 2x+1
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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    Plot y =  (red), y= =  (green)



The root is between 2 and 3. It is not an integer number.


There is no algebraic methods to solve this equation.


It can be only solved APPROXIMATELY, using numerical methods.


Good site for is   https://www.wolframalpha.com/widgets/view.jsp?id=a7d8ae4569120b5bec12e7b6e9648b86


This online solver gave me the answer  x= 2.21231 (approximately).

Solved, answered and explained.

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