Question: numeric solution2

This question is related to the Question numeric solution

Dear guys!

I know that an analitical solution of an aquation of order "n" like this is impossible. But I give you a simple example. For the equation y(x)^2+y(x)+x=0, we have a solution like y(x)=(-1+-sqrt(1-4*x))/2. But here we have an equation of the form

y(x)^(-0.2)*[y(x)^2-(1+x)^3-(1+x)^4]=1. I'm sure it has a numerical solution. What do you think? 

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