diff --git a/README.md b/README.md
index bdcfb4b524cd69e9b1f6558e4227a1683f830d60..e2c42332b91cfb8c34f18dac596df0ef57d74596 100644
--- a/README.md
+++ b/README.md
@@ -45,9 +45,9 @@ $$b = -\frac{a\cdot \displaystyle\sum^N_{j=1} x_j - \sum^N_{j=1} y_j}{N} \tag{3}
 
 Puis, nous avons remplacé *a* et *b* dans les équations pour les isoler.
 
-$$a = \frac
-{\displaystyle\sum^N_{j=1} x_j \cdot y_j}
-{\displaystyle\sum^N_{j=1} x^2_j} \tag{4}$$
+$$a = \frac{\displaystyle \sum^N_{j=1}y_j \cdot \sum^N_{j=1} x_j + N \cdot \sum^N_{j=1} x_j \cdot y_j}
+{\displaystyle N \cdot \sum^N_{j=1}x_j^2 + \left(\sum^N_{j=1} x_j\right)^2}
+\tag{4}$$
 
 $$b = \frac{
 \left(\displaystyle\sum^N_{j=1} x_j - \sum^N_{j=1} y_j
diff --git a/TP01-Optimisation.pdf b/TP01-Optimisation.pdf
index fd499d76a417b5b763aadc1f28f9a77b44bbeed7..e8b5fc42708f7424539bc3d00bb29b56c566a575 100644
Binary files a/TP01-Optimisation.pdf and b/TP01-Optimisation.pdf differ