- $$\color{blue}{\rightarrow}\color{black}\;
\Delta=(b-d)^2-4a(c-e);$$
$$\Delta \lt 0 :$$ aucune intersection
$$\Delta=0 :$$ $$I(\frac{d-b}{2a},\frac{d^2-bd+2ac}{2a})$$
$$\Delta\gt 0 :$$ $$X_{1,2}=\frac{(d-b)\pm \sqrt{\Delta} }{2a}; Y_{1,2}= d\cdot X_{1,2}+e;$$ $$I_{1,2}(X_{1,2},Y_{1,2})$$
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