vault backup: 2022-03-23 09:40:45

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

@@ -13,7 +13,7 @@
     {
       "path": "/",
       "date": "2022-03-23",
-      "size": 810665
+      "size": 810674
     }
   ],
   "activityHistory": [
@@ -518,7 +518,7 @@
         },
         {
           "date": "2022-03-23",
-          "value": 2608
+          "value": 2737
         }
       ]
     }

notes/mat/Rovnice.md

@@ -154,9 +154,14 @@ $$x=-2$$
 $$\sqrt{x-2} = x + 3$$
 $$[x > 2]$$
 $$x-2=(x+3)(x+3)$$
+$$x-2=x^2+6x+9$$
+$$x=x^2+6x+11$$
+$$0=x^2+5x+11$$
+$$D=b^2-4ac=5^2-4*1*11=25-44=-19$$
+$$K=\{\emptyset\}$$
+
+$$\sqrt{x-2}=x-3$$
+$$(\sqrt{x-2})^2=(x-3)^2$$
 $$x-2=x^2-6x+9$$
-$$x=x^2-6x+7$$
-$$0=x^2-7x+7$$
-$$D=b^2-4ac=(-7)^2-4*1*7=49-28=21$$
-$$x_1,x_2=\frac{-b\pm\sqrt{D}}{2a}=\frac{7\pm\sqrt{21}}{2*1}$$
-$$x_1=\frac{7+}{2}
+$$0=x^2-7x+11$$
+$$D=b^2-4ac=(-7)^2-4*1*11=49-44=5$$