Question 1162542
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Go to this link


https://www.desmos.com/calculator


It is free of charge online calculator and plotting tool.


Input the formula  2^x - x^2 and look into this plot.


Find and learn useful setup options in this tool.


Play with it and have fan (!)



By the way, from the plot, you can see two integer solutions  x= 2  and  x= 4.


You can check it manually, that these integer values of x are valid solutions to the equation.


The third solution, close to x= -0.8, is not integer.