4.3. Розв’язати біквадратне рівняння .
№ |
|
|
|
|
|
11 |
24 |
400 |
12 |
–24 |
400 |
13 |
48 |
676 |
14 |
–48 |
676 |
15 |
70 |
1369 |
|
|
|
16 |
–70 |
1369 |
17 |
42 |
841 |
18 |
–42 |
841 |
19 |
64 |
1600 |
20 |
–64 |
1600 |
№ |
|
|
|
|
|
01 |
6 |
25 |
02 |
–6 |
25 |
03 |
16 |
100 |
04 |
–16 |
100 |
05 |
10 |
169 |
|
|
|
06 |
–10 |
169 |
07 |
14 |
625 |
08 |
–14 |
625 |
09 |
30 |
289 |
10 |
–30 |
289 |
№ |
|
|
|
|
|
21 |
32 |
1156 |
22 |
–32 |
1156 |
23 |
54 |
2025 |
24 |
–54 |
2025 |
25 |
18 |
1762 |
|
|
|
26 |
–18 |
1762 |
27 |
40 |
3104 |
28 |
–40 |
3104 |
29 |
22 |
3721 |
30 |
–22 |
3721 |
4.4. Знайти всі значення коренів n-го степеня з комплексного числа та
зобразити їх на комплексній площині.
№ |
|
|
|
|
|
|
|
21 |
4 |
16 |
0 |
22 |
3 |
1 |
0 |
23 |
3 |
–1 |
0 |
24 |
4 |
16 |
0 |
25 |
3 |
–8 |
0 |
|
|
|
|
26 |
4 |
–81 |
0 |
27 |
4 |
81 |
0 |
28 |
3 |
64 |
0 |
29 |
3 |
0 |
125 |
30 |
4 |
256 |
0 |
№ |
|
|
|
|
|
|
|
01 |
6 |
–64 |
0 |
02 |
3 |
0 |
27 |
03 |
3 |
27 |
0 |
04 |
3 |
–2 |
2 |
05 |
4 |
16 |
0 |
|
|
|
|
06 |
3 |
–27 |
0 |
07 |
6 |
64 |
0 |
08 |
3 |
–1 |
1 |
09 |
3 |
0 |
–27 |
10 |
3 |
0 |
8 |
№ |
|
|
|
|
|
|
|
11 |
3 |
–16 |
16 |
12 |
3 |
0 |
–8 |
13 |
4 |
–1 |
0 |
14 |
6 |
1 |
0 |
15 |
6 |
–1 |
0 |
|
|
|
|
16 |
3 |
8 |
0 |
17 |
3 |
–64 |
0 |
18 |
3 |
0 |
1 |
19 |
3 |
0 |
–1 |
20 |
4 |
16 |
0 |
5. А Л Г Е Б Р А М А Т Р И Ц Ь
5.1. Задані матриці
,
,
.
1) Обчислити
та
;
.
2) Розв’язати матричне
рівняння:
.
№ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
01 |
1 |
0 |
2 |
3 |
–1 |
0 |
1 |
1 |
–2 |
2 |
1 |
0 |
02 |
1 |
–1 |
2 |
3 |
0 |
4 |
1 |
3 |
1 |
0 |
4 |
2 |
03 |
0 |
2 |
3 |
4 |
1 |
0 |
2 |
–1 |
–2 |
2 |
1 |
–1 |
04 |
1 |
2 |
0 |
3 |
0 |
–1 |
2 |
1 |
–1 |
1 |
3 |
2 |
05 |
2 |
0 |
1 |
3 |
0 |
2 |
–1 |
1 |
2 |
2 |
3 |
–1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
06 |
0 |
3 |
2 |
2 |
–1 |
0 |
–1 |
2 |
1 |
2 |
–1 |
2 |
07 |
1 |
3 |
0 |
2 |
1 |
–1 |
0 |
2 |
1 |
3 |
1 |
2 |
08 |
2 |
1 |
2 |
3 |
0 |
2 |
1 |
0 |
1 |
2 |
3 |
1 |
09 |
1 |
1 |
0 |
2 |
–1 |
1 |
2 |
3 |
1 |
1 |
–1 |
3 |
10 |
0 |
1 |
2 |
4 |
0 |
1 |
–1 |
–2 |
1 |
2 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
2 |
1 |
1 |
0 |
0 |
2 |
1 |
3 |
–1 |
1 |
2 |
–1 |
12 |
3 |
0 |
1 |
1 |
–1 |
0 |
2 |
1 |
–1 |
1 |
0 |
3 |
13 |
1 |
2 |
1 |
0 |
2 |
0 |
–1 |
1 |
1 |
2 |
2 |
1 |
14 |
1 |
1 |
2 |
0 |
2 |
1 |
1 |
–1 |
0 |
1 |
2 |
–1 |
15 |
1 |
1 |
1 |
2 |
0 |
1 |
6 |
1 |
1 |
1 |
2 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
1 |
1 |
3 |
1 |
0 |
1 |
2 |
0 |
1 |
3 |
1 |
1 |
17 |
1 |
0 |
1 |
2 |
–1 |
2 |
3 |
–1 |
1 |
1 |
2 |
1 |
18 |
1 |
0 |
2 |
3 |
0 |
–1 |
1 |
–2 |
1 |
2 |
–1 |
1 |
19 |
2 |
0 |
0 |
1 |
–1 |
1 |
–1 |
2 |
1 |
2 |
1 |
–1 |
20 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
2 |
1 |
0 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
21 |
0 |
1 |
1 |
1 |
1 |
0 |
2 |
1 |
1 |
1 |
0 |
1 |
22 |
6 |
0 |
1 |
2 |
1 |
–1 |
1 |
1 |
1 |
1 |
2 |
–1 |
23 |
0 |
1 |
1 |
0 |
2 |
1 |
–1 |
2 |
1 |
1 |
–2 |
2 |
24 |
0 |
2 |
1 |
0 |
3 |
2 |
1 |
1 |
–2 |
2 |
3 |
1 |
25 |
2 |
0 |
1 |
6 |
1 |
–1 |
1 |
1 |
–1 |
1 |
–1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
26 |
2 |
0 |
1 |
1 |
1 |
1 |
0 |
2 |
–1 |
1 |
1 |
–1 |
27 |
2 |
4 |
2 |
2 |
3 |
0 |
1 |
1 |
0 |
1 |
3 |
1 |
28 |
2 |
1 |
0 |
1 |
0 |
1 |
1 |
–1 |
1 |
2 |
1 |
1 |
29 |
2 |
0 |
1 |
1 |
0 |
–1 |
–1 |
1 |
1 |
0 |
–1 |
1 |
30 |
2 |
–1 |
0 |
–1 |
0 |
1 |
1 |
1 |
–1 |
0 |
1 |
–1 |
