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Daniel Bulant 2022-03-23 09:40:45 +01:00
parent 5eb1ae8718
commit 9aa92c2181
2 changed files with 12 additions and 7 deletions
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4
notes/.obsidian/plugins/obsidian-activity-history/data.json vendored
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@ -13,7 +13,7 @@
{ {
"path": "/", "path": "/",
"date": "2022-03-23", "date": "2022-03-23",
"size": 810665 "size": 810674
} }
], ],
"activityHistory": [ "activityHistory": [
@ -518,7 +518,7 @@
}, },
{ {
"date": "2022-03-23", "date": "2022-03-23",
"value": 2608 "value": 2737
} }
] ]
} }

15
notes/mat/Rovnice.md
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@ -154,9 +154,14 @@ $$x=-2$$
$$\sqrt{x-2} = x + 3$$ $$\sqrt{x-2} = x + 3$$
$$[x > 2]$$ $$[x > 2]$$
$$x-2=(x+3)(x+3)$$ $$x-2=(x+3)(x+3)$$
$$x-2=x^2+6x+9$$
$$x=x^2+6x+11$$
$$0=x^2+5x+11$$
$$D=b^2-4ac=5^2-4*1*11=25-44=-19$$
$$K=\{\emptyset\}$$
$$\sqrt{x-2}=x-3$$
$$(\sqrt{x-2})^2=(x-3)^2$$
$$x-2=x^2-6x+9$$ $$x-2=x^2-6x+9$$
$$x=x^2-6x+7$$ $$0=x^2-7x+11$$
$$0=x^2-7x+7$$ $$D=b^2-4ac=(-7)^2-4*1*11=49-44=5$$
$$D=b^2-4ac=(-7)^2-4*1*7=49-28=21$$
$$x_1,x_2=\frac{-b\pm\sqrt{D}}{2a}=\frac{7\pm\sqrt{21}}{2*1}$$
$$x_1=\frac{7+}{2}