Equation of the Tangent to the Curve

Calculus Level 2

Given that the equation of the tangent to the curve (y2)2=x,(y-2)^2=x, which is parallel to the line x2y=4,x-2y=4, can be expressed in the form AxBy+C=0,Ax-By+C=0, where A,BA, B and CC are coprime, positive integers, find the value of AB+C.A-B+C.

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