1. The problem statement, all variables and given/known data The curve y^2-3xy+2x^2=4 is a hyperbola with axes rotated from the standard position. Use Newton's Method to find the positive x-value to four decimal places for the point on the hyperbola where y=1. 2. Relevant equations Newton's Method 3. The attempt at a solution I found the first part of Newton's Method by finding the derivative of the equation given, but I don't know how to find f(x) to finish of the formula. I've figured that you can simply plug the y-value into the given equation, make it equal to zero, and then plug it in for f(x), but then I do not know the starting value to use for x. I know how to use Newton's Method and find the derivative, but for this question I just don't know how to find f(x) and the starting x-value needed to solve for the answer. Any help you guys can give would be greatly appreciated, thanks in advance.