vault backup: 2022-05-04 10:02:30

notes/.obsidian/plugins/obsidian-activity-history/data.json

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2022-04-29",
-      "size": 831991
+      "date": "2022-05-04",
+      "size": 832860
     }
   ],
   "activityHistory": [
@@ -614,7 +614,23 @@
         },
         {
           "date": "2022-04-29",
-          "value": 804
+          "value": 841
+        },
+        {
+          "date": "2022-04-30",
+          "value": 0
+        },
+        {
+          "date": "2022-05-01",
+          "value": 0
+        },
+        {
+          "date": "2022-05-02",
+          "value": 0
+        },
+        {
+          "date": "2022-05-04",
+          "value": 832
         }
       ]
     }

notes/mat/Rovnice/Matice.md

@@ -1,4 +1,4 @@
-# Matice
+s# Matice
 Slouží k řešení [Soustavy rovnic](Soustavy%20rovnic.md).
 
 Například:

notes/mat/Rovnice/Rovnice.md

@@ -168,6 +168,7 @@ $$D=b^2-4ac=(-7)^2-4*1*11=49-44=5$$
 
 %% Zoottelkeeper: Beginning of the autogenerated index file list  %%
 -  [[mat/Rovnice/Matice|Matice]]
+-  [[mat/Rovnice/Soustava kvadratických rovnic|Soustava kvadratických rovnic]]
 -  [[mat/Rovnice/Soustavy rovnic.excalidraw|Soustavy rovnic.excalidraw]]
 -  [[mat/Rovnice/Soustavy rovnic|Soustavy rovnic]]
 %% Zoottelkeeper: End of the autogenerated index file list  %%

notes/mat/Rovnice/Soustava kvadratických rovnic.md

@@ -0,0 +1,45 @@
+# Soustava kvadratických rovnic
+$(x-3)^2+(y-2)^2-25=0$
+$4x-3y-31=0$
+
+$4x=31+3y$
+$x=\frac{34}4 + \frac{3y}4$
+$(\frac{31}4+\frac{3y}4-3)^2+(y-2)-25=0$
+$(\frac{19}4+\frac{3y}4)^2+(y-2)^2-25=0$
+$(\frac{361}{16}+\frac{57}2y+\frac{9y^2}{16})+y^2-4y+4-25=0$
+$361+456y+9y^2+16y^2-64y-336=0$
+$25y^2+50y+25=0$
+$D=2500-2500=0$
+$\sqrt{D}=\sqrt0=0$
+$y_1;y_2=\frac{-b\pm\sqrt{D}}{2a} = -1$
+$x=7$
+
+$K=\{[7;-1]\}$
+
+---
+
+$x^2+y^2-6x-4y-12=0$
+$-4x+3y+6=0$
+
+$3y=4x-6$
+$y=(\frac43x-2)$
+
+$x^2+\frac{16}9x^2-\frac{16}3x+4-6x-\frac{16}3x+8-12=0$
+$\frac{25}9x^2+\frac{50}3x=0$
+$25x^2+150x=0$
+$x^2-6x=0$
+$x(x-6)=0$
+$x_1=0$
+$x_2=6$
+
+---
+
+$x^2+y^2-6x-4y-12=0$
+$x-2y-4=0$
+
+$x=(2y+4)$
+
+$(2y+4)^2+y^2-6(2y+4)-4y-12=0$
+$4y^2+16+y^2-12y-24-4y-12=0$
+$5y^2-16y-20=0$
+$y(5y-16)-20=0$