From f35c59f1d212eec23fd0a75f9b13d773990351b2 Mon Sep 17 00:00:00 2001
From: Daniel Bulant <danbulant@gmail.com>
Date: Fri, 13 May 2022 08:03:57 +0200
Subject: [PATCH] vault backup: 2022-05-13 08:03:57

---
 .../obsidian-activity-history/data.json       | 20 +++++-
 notes/ele/Testy/23.5..md                      |  4 ++
 notes/ele/Testy/Testy.md                      |  1 +
 .../Rovnice/Soustava kvadratických rovnic.md  | 66 +++++++++++++++++++
 4 files changed, 89 insertions(+), 2 deletions(-)
 create mode 100644 notes/ele/Testy/23.5..md

diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json
index efa9c71..cb6c5cb 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": "2022-05-09",
-      "size": 837000
+      "date": "2022-05-13",
+      "size": 838056
     }
   ],
   "activityHistory": [
@@ -643,6 +643,22 @@
         {
           "date": "2022-05-09",
           "value": 2382
+        },
+        {
+          "date": "2022-05-10",
+          "value": 0
+        },
+        {
+          "date": "2022-05-11",
+          "value": 0
+        },
+        {
+          "date": "2022-05-12",
+          "value": 1056
+        },
+        {
+          "date": "2022-05-13",
+          "value": 0
         }
       ]
     }
diff --git a/notes/ele/Testy/23.5..md b/notes/ele/Testy/23.5..md
new file mode 100644
index 0000000..030ae78
--- /dev/null
+++ b/notes/ele/Testy/23.5..md
@@ -0,0 +1,4 @@
+# 23.5.
+- 15min
+- opakování
+- řazení rezistorů a kondenzátorů
\ No newline at end of file
diff --git a/notes/ele/Testy/Testy.md b/notes/ele/Testy/Testy.md
index dd5c3f1..4cafd9c 100644
--- a/notes/ele/Testy/Testy.md
+++ b/notes/ele/Testy/Testy.md
@@ -9,6 +9,7 @@ imagePrefix: 'data/'
 %% Zoottelkeeper: Beginning of the autogenerated index file list  %%
 -  [[ele/Testy/14.3 opakování|14.3 opakování]]
 -  [[ele/Testy/17.3. Test|17.3. Test]]
+-  [[ele/Testy/23.5.|23.5.]]
 -  [[ele/Testy/Oprava rezistorů|Oprava rezistorů]]
 -  [[ele/Testy/Pololetní opakování|Pololetní opakování]]
 %% Zoottelkeeper: End of the autogenerated index file list  %%
diff --git a/notes/mat/Rovnice/Soustava kvadratických rovnic.md b/notes/mat/Rovnice/Soustava kvadratických rovnic.md
index 8bbc8e2..e679ba0 100644
--- a/notes/mat/Rovnice/Soustava kvadratických rovnic.md	
+++ b/notes/mat/Rovnice/Soustava kvadratických rovnic.md	
@@ -141,3 +141,69 @@ $y=x^2-2x+3$
 
 $1=x^2-2*4x+16+y^2-2y3+9$
 $1=x^2-4x+16+y^2-6y+9$
+
+---
+
+$\frac1{x-2}+\frac5{x+2}=\frac{10}{x^2-4}$
+$[x!=\pm2]$
+
+$\frac1{x-2}+\frac5{x+2}=\frac{10}{(x+2)(x-2)}$
+
+$1(x+2)+5(x-2)=10$
+$x+2+5x-10=10$
+$6x-8=10$
+$6x=18$
+$x=3$
+
+---
+
+$((\frac23(x+\frac12)+\frac34)-\frac58)+\frac35=0$
+$((\frac23x+\frac16+\frac34)-\frac58)+\frac35=0$
+$(\frac32x+\frac16+\frac34-\frac58)+\frac35=0$
+$\frac32x+\frac16+\frac34-\frac58+\frac35=0$
+$\frac32x+\frac{20}{120}+\frac{90}{120}-\frac{75}{120}+\frac{72}{120}=0$
+$\frac32x+\frac{107}{120}=0$
+$3x+\frac{214}{120}=0$
+$3x=-\frac{214}{120}$
+$x=-\frac{107}{180}$
+má být $x=-\frac{127}{80}$
+
+---
+
+řešte v $\mathbb{Z}$
+$\frac{2x+1}{x-3}=\frac{4x+2}{2x-1}$
+$[x!=3]$
+
+$(2x+1)(2x-1)=(4x+2)(x-3)$
+$K=\{\emptyset\}$
+
+---
+
+$|x-2|>7$
+
+$x>2$
+$x-2>7$
+$x>9$
+
+$x\le2$
+$-x+2>7$
+$-x>5$
+$x<-5$
+
+$K=\{(-\infty;-5)\cup(9;+\infty)\}$
+
+---
+
+$|2x+7|\ge x+3$
+$x\ge-\frac72$
+$2x+7\ge x+3$
+$x+7\ge3$
+$x\ge-4$
+
+$x\lt -\frac72$
+$-2x-7\ge x+3$
+$-3x\ge 10$
+$3x\le10$
+$x\le \frac{10}3$
+
+$K=\{<-4; \frac{10}3>\}$