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Version 8.1 von Kim Fujan am 2025/05/20 14:54
Zeige letzte Bearbeiter
1 (%class="abc"%)
2 1. (((
3 (%class="border slim"%)
4 |(%align="center" width="160"%){{formula}}e^{2x}-4e^x+3=0{{/formula}}
5
6 {{formula}}u:=e^x{{/formula}}
7 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-4x^e+3=0{{/formula}}
8
9 {{formula}}u:=x^e{{/formula}}
10 🠗|(%align="center" width="160"%){{formula}}x^{-2}-4x^{-1}+3=0{{/formula}}
11
12 {{formula}}u:=x^{-1}{{/formula}}
13 ⬋
14 ||(%align="center"%){{formula}}u^2-4u+3=0{{/formula}}
15 (((
16
17 {{formula}}u_{1,2}=\frac{4\pm \sqrt{16-12}}{2}{{/formula}}
18 )))
19
20 {{formula}}u_1=3 \quad;\quad u_2=1{{/formula}}|
21 |(%align="center"%)(((⬋
22 {{formula}}\_\_\_:=u{{/formula}}
23 (((
24 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
25 |
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28 )))
29 )))|(%align="center"%)(((🠗
30 {{formula}}\_\_\_:=u{{/formula}}
31 (((
32 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
33 |
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36 )))
37 )))|(%align="center"%)(((⬊
38 {{formula}}\_\_\_:=u{{/formula}}
39 (((
40 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
41 |
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44 )))
45 )))
46 )))
47 1. (((
48 (%class="border slim"%)
49 |(%align="center" width="160"%){{formula}}x^{-2}-3x^{-1}=0{{/formula}}
50
51 {{formula}}u:=\_\_\_{{/formula}}
52 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-3x^e=0{{/formula}}
53
54 {{formula}}u:=\_\_\_{{/formula}}
55 🠗|(%align="center" width="160"%){{formula}}e^{2x}-3e^x=0{{/formula}}
56
57 {{formula}}u:=\_\_\_{{/formula}}
58 ⬋
59 ||(%align="center"%){{formula}}u^2-3u=0{{/formula}}
60 (((
61 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
62 |
63
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65 )))
66
67 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
68 |(%align="center"%)(((⬋
69 {{formula}}\_\_\_:=u{{/formula}}
70 (((
71 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
72 |
73
74
75 )))
76 )))|(%align="center"%)(((🠗
77 {{formula}}\_\_\_:=u{{/formula}}
78 (((
79 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
80 |
81
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83 )))
84 )))|(%align="center"%)(((⬊
85 {{formula}}\_\_\_:=u{{/formula}}
86 (((
87 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
88 |
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91 )))
92 )))
93 )))
94 1. (((
95 (%class="border slim"%)
96 |(%align="center" width="160"%){{formula}}x^{-2}-2x^{-1}+3=0{{/formula}}
97
98 {{formula}}u:=\_\_\_{{/formula}}
99 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-2x^e+3=0{{/formula}}
100
101 {{formula}}u:=\_\_\_{{/formula}}
102 🠗|(%align="center" width="160"%){{formula}}e^{2x}-2e^x+3=0{{/formula}}
103
104 {{formula}}u:=\_\_\_{{/formula}}
105 ⬋
106 ||(%align="center"%){{formula}}u^2-2u+3=0{{/formula}}
107 (((
108 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
109 |
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112 )))
113
114 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
115 |(%align="center"%)(((⬋
116 {{formula}}\_\_\_:=u{{/formula}}
117 (((
118 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
119 |
120
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122 )))
123 )))|(%align="center"%)(((🠗
124 {{formula}}\_\_\_:=u{{/formula}}
125 (((
126 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
127 |
128
129
130 )))
131 )))|(%align="center"%)(((⬊
132 {{formula}}\_\_\_:=u{{/formula}}
133 (((
134 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
135 |
136
137
138 )))
139 )))
140 )))