diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 9d6f663..e4bf53c 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": "2022-04-29", - "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 } ] } diff --git a/notes/mat/Rovnice/Matice.md b/notes/mat/Rovnice/Matice.md index a4d028c..5b301d3 100644 --- a/notes/mat/Rovnice/Matice.md +++ b/notes/mat/Rovnice/Matice.md @@ -1,4 +1,4 @@ -# Matice +s# Matice Slouží k řešení [Soustavy rovnic](Soustavy%20rovnic.md). Například: diff --git a/notes/mat/Rovnice/Rovnice.md b/notes/mat/Rovnice/Rovnice.md index a445c0e..4fd0f6e 100644 --- a/notes/mat/Rovnice/Rovnice.md +++ b/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 %% diff --git a/notes/mat/Rovnice/Soustava kvadratických rovnic.md b/notes/mat/Rovnice/Soustava kvadratických rovnic.md new file mode 100644 index 0000000..e3c3aa0 --- /dev/null +++ b/notes/mat/Rovnice/Soustava kvadratických rovnic.md @@ -0,0 +1,45 @@ +# Soustava kvadratických rovnic +$(x-3)^2+(y-2)^2-25=0$ +$4x-3y-31=0$ + +$4x=31+3y$ +$x=\frac{34}4 + \frac{3y}4$ +$(\frac{31}4+\frac{3y}4-3)^2+(y-2)-25=0$ +$(\frac{19}4+\frac{3y}4)^2+(y-2)^2-25=0$ +$(\frac{361}{16}+\frac{57}2y+\frac{9y^2}{16})+y^2-4y+4-25=0$ +$361+456y+9y^2+16y^2-64y-336=0$ +$25y^2+50y+25=0$ +$D=2500-2500=0$ +$\sqrt{D}=\sqrt0=0$ +$y_1;y_2=\frac{-b\pm\sqrt{D}}{2a} = -1$ +$x=7$ + +$K=\{[7;-1]\}$ + +--- + +$x^2+y^2-6x-4y-12=0$ +$-4x+3y+6=0$ + +$3y=4x-6$ +$y=(\frac43x-2)$ + +$x^2+\frac{16}9x^2-\frac{16}3x+4-6x-\frac{16}3x+8-12=0$ +$\frac{25}9x^2+\frac{50}3x=0$ +$25x^2+150x=0$ +$x^2-6x=0$ +$x(x-6)=0$ +$x_1=0$ +$x_2=6$ + +--- + +$x^2+y^2-6x-4y-12=0$ +$x-2y-4=0$ + +$x=(2y+4)$ + +$(2y+4)^2+y^2-6(2y+4)-4y-12=0$ +$4y^2+16+y^2-12y-24-4y-12=0$ +$5y^2-16y-20=0$ +$y(5y-16)-20=0$