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Version 12.1 von Kim Fujan am 2025/05/20 12:58
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}}e^x:=u{{/formula}}
23 (((
24 {{formula}}x_{1}=ln(3){{/formula}}
25 {{formula}}x_{2}=ln(0){{/formula}}
26
27 )))
28 )))|(%align="center"%)(((🠗
29 {{formula}}x^e:=u{{/formula}}
30 (((
31 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
32 {{formula}}x_{1}=\sqrt[e]{3}{{/formula}}
33 {{formula}}x_{2}=\sqrt[e]{1}=1{{/formula}}
34
35 )))
36 )))|(%align="center"%)(((⬊
37 {{formula}}x^{-1}:=u{{/formula}}
38 (((
39 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
40 |
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43 )))
44 )))
45 )))
46 1. (((
47 (%class="border slim"%)
48 |(%align="center" width="160"%){{formula}}x^{-2}-3x^{-1}=0{{/formula}}
49
50 {{formula}}u:=\_\_\_{{/formula}}
51 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-3x^e=0{{/formula}}
52
53 {{formula}}u:=\_\_\_{{/formula}}
54 🠗|(%align="center" width="160"%){{formula}}e^{2x}-3e^x=0{{/formula}}
55
56 {{formula}}u:=\_\_\_{{/formula}}
57 ⬋
58 ||(%align="center"%){{formula}}u^2-3u=0{{/formula}}
59 (((
60 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
61 |
62
63
64 )))
65
66 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
67 |(%align="center"%)(((⬋
68 {{formula}}\_\_\_:=u{{/formula}}
69 (((
70 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
71 |
72
73
74 )))
75 )))|(%align="center"%)(((🠗
76 {{formula}}\_\_\_:=u{{/formula}}
77 (((
78 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
79 |
80
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82 )))
83 )))|(%align="center"%)(((⬊
84 {{formula}}\_\_\_:=u{{/formula}}
85 (((
86 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
87 |
88
89
90 )))
91 )))
92 )))
93 1. (((
94 (%class="border slim"%)
95 |(%align="center" width="160"%){{formula}}x^{-2}-2x^{-1}+3=0{{/formula}}
96
97 {{formula}}u:=\_\_\_{{/formula}}
98 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-2x^e+3=0{{/formula}}
99
100 {{formula}}u:=\_\_\_{{/formula}}
101 🠗|(%align="center" width="160"%){{formula}}e^{2x}-2e^x+3=0{{/formula}}
102
103 {{formula}}u:=\_\_\_{{/formula}}
104 ⬋
105 ||(%align="center"%){{formula}}u^2-2u+3=0{{/formula}}
106 (((
107 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
108 |
109
110
111 )))
112
113 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
114 |(%align="center"%)(((⬋
115 {{formula}}\_\_\_:=u{{/formula}}
116 (((
117 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
118 |
119
120
121 )))
122 )))|(%align="center"%)(((🠗
123 {{formula}}\_\_\_:=u{{/formula}}
124 (((
125 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
126 |
127
128
129 )))
130 )))|(%align="center"%)(((⬊
131 {{formula}}\_\_\_:=u{{/formula}}
132 (((
133 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
134 |
135
136
137 )))
138 )))
139 )))