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https://github.com/danbulant/notes
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vault backup: 2022-06-08 08:15:33
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3dcd881e14
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2 changed files with 24 additions and 7 deletions
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@ -12,8 +12,8 @@
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"checkpointList": [
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"checkpointList": [
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{
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{
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"path": "/",
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"path": "/",
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"date": "2022-06-07",
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"date": "2022-06-08",
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"size": 842334
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"size": 842719
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}
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}
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],
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],
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"activityHistory": [
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"activityHistory": [
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@ -702,7 +702,11 @@
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},
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},
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{
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{
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"date": "2022-06-07",
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"date": "2022-06-07",
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"value": 898
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"value": 1008
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},
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{
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"date": "2022-06-08",
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"value": 275
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}
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}
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]
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]
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}
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}
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@ -57,17 +57,30 @@ $$
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Součet čísla $x$ a jeho druhé mocniny je $3.75$. Vypočítejte číslo $x$.
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Součet čísla $x$ a jeho druhé mocniny je $3.75$. Vypočítejte číslo $x$.
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$x+x^2=3.75$
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$x+x^2=3.75$
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$x^2+x-3.75=0$
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$x^2+x-3.75=0$
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$4x^2+4x-15$
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$D=b^2-4ac$
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$D=4^2-4*4*(-15)=16+240=256$
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$\sqrt{D}=16$
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$x=\frac{b\pm\sqrt{D}}{2a}$
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$x_1=\frac{4-16}{2*4}$
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$x_1=-\frac52$
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$x_1=-\frac52$
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$x_2=\frac32$
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$x_2=\frac{4+16}{2*4}=\frac32$
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---
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---
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Součet čísla $x$ a jeho převrácené hodnoty je $4.25$. Vypočítejte číslo $x$.
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Součet čísla $x$ a jeho převrácené hodnoty je $4.25$. Vypočítejte číslo $x$.
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$x+\frac1x=4.25$
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$x+\frac1x=4.25$
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$x^2+x=4.25x$
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$x^2+x=4.25x$
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$x^2-3.25x=0$
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$x^2-3.25x+0=0$
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$x_1=\frac14$
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$D=b^2-4ac$
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$x_2=4$
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$D=(-3.25)^2-4*1*0$
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$D=(-3.25)^2$
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$\sqrt{D}=3.25$
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$x=\frac{-b\pm\sqrt{D}}{2a}$
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$x_1=\frac{3.25+3.25}{2}=0$
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$x_2=\frac{3.25-3.25}{2}=-\frac{13}4$
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---
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---
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