I can't figure out this one...any help is greatly appreciated :)
What is x if y = e^(2x^2) + 2x?
thanks!
What is x if y = e^(2x^2) + 2x?
thanks!
-
I don't think it can be done algebraically. Once |x| is larger than, say, 2, the exponential term completely swamps the linear term, so you could drop the linear term and solve approximately for x:
y = e^(2x^2)
ln(y) = 2x^2
½ ln y = x^2
±√(½ ln y) = x
y = e^(2x^2)
ln(y) = 2x^2
½ ln y = x^2
±√(½ ln y) = x
-
You must give a number for y .- Then apply a numerical Method like Newton-Rahpson to know x.-