A resistance thermometer reads `R=20.0Omega, 27.5 Omega, and 50.0 Omega` at the point `(0^C)`, the steam point `(100^C)` and the zinc point `(420^C)` respectively.Assuming that the resistance varies with temperature as `R_Theta=(1+alphaTheta+betaTheta^2)` , find the values of `R_0`, alpha and beta. Here Theta represents the temperature on Celsius scale.