PYTHON : Implementing Newton-Raphson method

Objective: Objective: To determine the minimum cushion pressure needed to break a given thickness of ice using an air cushion vehicle, Muller (“Ice Breaking with an Air Cushion Vehicle”) using the following equation :`p^3*(1-beta^2) + (0.4*h*beta^2 - (sigma*h^2)/r^2)*p^2 + ((sigma^2*h^4)/(3*r^4))*p - ((sigma*h^2)/(3*r^2))^3`…