some help please with e equation

[Blackfyre]

(x/(1-x))e^(-6x^2+2x+1)=(1.125)

cant figure out how to solve this, my teacher wrote that the solution is x= 0.244

 

[yoscar04]

What have you tried so far?
Does any idea come to mind on how to solve equations that you don't know how to simplify?

 

[Deleted member 4993]

(x/(1-x))e^(-6x^2+2x+1)=(1.125)

cant figure out how to solve this, my teacher wrote that the solution is x= 0.244

What class are you taking?

 

[LCKurtz]

It would appear that your teacher is incorrect. There apparently are 3 solutions in (0,1), and the smallest is not [MATH].244[/MATH].
Below is the output of a Maple worksheet for it:

 

[yoscar04]

You may use also Wolfram:
Transcendental equations are not picnic. In any event you may figure out the asymptotic behaviour of the function plotted above.

 

[Blackfyre]

Thanks for help guys