From 0201c7164d05c140ae66c2fd44fe190638cc9d62 Mon Sep 17 00:00:00 2001
From: "kelly.nguyen" <kelly.nguyen@etu.hesge.ch>
Date: Mon, 13 Dec 2021 22:09:09 +0100
Subject: [PATCH] update formula 4

---
 README.md             |   6 +++---
 TP01-Optimisation.pdf | Bin 435380 -> 435774 bytes
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/README.md b/README.md
index bdcfb4b..e2c4233 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
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