Places of $\mathbb C(t)[W]/(W^2-h_\alpha)$ containing $\mathbb C[t]$ are the points of $w^2=h_\alpha(t)$, bijectively

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Places of $\mathbb C(t)[W]/(W^2-h_\alpha)$ containing $\mathbb C[t]$ are the points of $w^2=h_\alpha(t)$, bijectively · Prove2Me