From 854668716634d242571adf074242e8756e26f026 Mon Sep 17 00:00:00 2001
From: Daniel Bulant <danbulant@gmail.com>
Date: Wed, 8 Jun 2022 08:15:33 +0200
Subject: [PATCH] vault backup: 2022-06-08 08:15:33

---
 .../obsidian-activity-history/data.json       | 10 ++++++---
 notes/mat/Příklady.md                         | 21 +++++++++++++++----
 2 files changed, 24 insertions(+), 7 deletions(-)

diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json
index 5759e98..66dedde 100644
--- a/notes/.obsidian/plugins/obsidian-activity-history/data.json
+++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json
@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2022-06-07",
-      "size": 842334
+      "date": "2022-06-08",
+      "size": 842719
     }
   ],
   "activityHistory": [
@@ -702,7 +702,11 @@
         },
         {
           "date": "2022-06-07",
-          "value": 898
+          "value": 1008
+        },
+        {
+          "date": "2022-06-08",
+          "value": 275
         }
       ]
     }
diff --git a/notes/mat/Příklady.md b/notes/mat/Příklady.md
index adbb0b1..38a1728 100644
--- a/notes/mat/Příklady.md
+++ b/notes/mat/Příklady.md
@@ -57,17 +57,30 @@ $$
 Součet čísla $x$ a jeho druhé mocniny je $3.75$. Vypočítejte číslo $x$.
 $x+x^2=3.75$
 $x^2+x-3.75=0$
+$4x^2+4x-15$
+$D=b^2-4ac$
+$D=4^2-4*4*(-15)=16+240=256$
+$\sqrt{D}=16$
+$x=\frac{b\pm\sqrt{D}}{2a}$
+$x_1=\frac{4-16}{2*4}$
 $x_1=-\frac52$
-$x_2=\frac32$
+$x_2=\frac{4+16}{2*4}=\frac32$
 
 ---
 
 Součet čísla $x$ a jeho převrácené hodnoty je $4.25$. Vypočítejte číslo $x$.
+
 $x+\frac1x=4.25$
 $x^2+x=4.25x$
-$x^2-3.25x=0$
-$x_1=\frac14$
-$x_2=4$
+$x^2-3.25x+0=0$
+$D=b^2-4ac$
+$D=(-3.25)^2-4*1*0$
+$D=(-3.25)^2$
+$\sqrt{D}=3.25$
+
+$x=\frac{-b\pm\sqrt{D}}{2a}$
+$x_1=\frac{3.25+3.25}{2}=0$
+$x_2=\frac{3.25-3.25}{2}=-\frac{13}4$
 
 ---