Find all real solutions for x in 2(2x−1)x2+(2x2−2)x=2x+1−2.
I found x = -1, 0, and x = 1 as solutions to this problem, but how do I prove these are the only solutions?
Isn't it a 3rd order equation because of: 2^x^2 term? if that is the case, then there are only the 3 solutions you found.
How does the 2^(x^2) term mean that the equation is 3rd order?