diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 4745fc6..0bfb539 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2022-05-09", - "size": 835273 + "size": 835613 } ], "activityHistory": [ @@ -642,7 +642,7 @@ }, { "date": "2022-05-09", - "value": 655 + "value": 995 } ] } diff --git a/notes/mat/Rovnice/Soustavy rovnic.md b/notes/mat/Rovnice/Soustavy rovnic.md index 053ebe3..22c8748 100644 --- a/notes/mat/Rovnice/Soustavy rovnic.md +++ b/notes/mat/Rovnice/Soustavy rovnic.md @@ -102,12 +102,32 @@ $9y=3y-17$ $6y=-17$ $y=-\frac{17}6$ +nevýchází dobře ## D $\frac3{x+1}+\frac2{y-2}=-1$ $\frac1{x+1}+\frac1{y-2}=-\frac23$ +$3(y-2) + 2(x+1) = -1(x+1)(y-2)$ +$3y-6+x+2=-1(xy-2x+1y-2)$ +$3y+x-4=-xy+2x-1y+2$ +$4y-x+xy=6$ + +$y-2+x+1=-\frac23(x+1)(y-2)$ +$x+y-1=-\frac23(xy-2x+y-2)$ +$x+y-1=-\frac23xy + \frac232x-\frac23y+\frac232$ +$x+y-1=\frac{-2xy +4x-2y+4}3$ + +$3t+2y=-1$ +$t+y=-\frac23$ +$(t;u)=(\frac13;-1)$ +$\frac1{x+1}=\frac13$ +$\frac1{y-2}=-1$ +$x_1=2$ +$y_1=1$ +$K=\{(2;1)\}$ + --- $x^2+y^2=10$