Учебные материалы Шарапова М.П.
Веб-сайт: http://sharapovmp.ru,
Квадратные уравнения с рациональными
корнями. Корни
– обыкновенные дроби
© Шарапов Михаил Петрович, 2025
E-mail: autocad1012@yahoo.com
На подступах к умопросветлению
Для самоподготовки по математике юного
математика
Решите квадратные
уравнения вида
ax2 + bx + c= 0,
коэффициенты которых
приведены в таблице.
|
№ |
a |
b |
c |
x1 |
x2 |
|
1 |
18 |
11 |
1 |
-1/2 |
-1/9 |
|
2 |
27 |
15 |
2 |
-1/3 |
-2/9 |
|
3 |
27 |
30 |
8 |
-2/3 |
-4/9 |
|
4 |
36 |
29 |
5 |
-1/4 |
-5/9 |
|
5 |
36 |
55 |
21 |
-3/4 |
-7/9 |
|
6 |
45 |
49 |
8 |
-1/5 |
-8/9 |
|
7 |
40 |
51 |
14 |
-2/5 |
-7/8 |
|
8 |
40 |
49 |
15 |
-3/5 |
-5/8 |
|
9 |
40 |
47 |
12 |
-4/5 |
-3/8 |
|
10 |
48 |
46 |
5 |
-5/6 |
-1/8 |
|
11 |
42 |
43 |
6 |
-1/6 |
-6/7 |
|
12 |
49 |
42 |
5 |
-1/7 |
-5/7 |
|
13 |
49 |
42 |
8 |
-2/7 |
-4/7 |
|
14 |
49 |
42 |
9 |
-3/7 |
-3/7 |
|
15 |
49 |
42 |
8 |
-4/7 |
-2/7 |
|
16 |
49 |
42 |
5 |
-5/7 |
-1/7 |
|
17 |
48 |
82 |
35 |
-7/8 |
-5/6 |
|
18 |
48 |
38 |
5 |
-5/8 |
-1/6 |
|
19 |
40 |
47 |
12 |
-3/8 |
-4/5 |
|
20 |
40 |
29 |
3 |
-1/8 |
-3/5 |
|
21 |
45 |
58 |
16 |
-8/9 |
-2/5 |
|
22 |
45 |
44 |
7 |
-7/9 |
-1/5 |
|
23 |
36 |
47 |
15 |
-5/9 |
-3/4 |
|
24 |
36 |
25 |
4 |
-4/9 |
-1/4 |
|
25 |
27 |
24 |
4 |
-2/9 |
-2/3 |
|
26 |
27 |
12 |
1 |
-1/9 |
-1/3 |
|
27 |
4 |
4 |
1 |
-1/2 |
-1/2 |
|
28 |
27 |
6 |
-1 |
-1/3 |
1/9 |
|
29 |
27 |
12 |
-4 |
-2/3 |
2/9 |
|
30 |
36 |
-7 |
-4 |
-1/4 |
4/9 |
|
31 |
36 |
7 |
-15 |
-3/4 |
5/9 |
|
32 |
45 |
-26 |
-7 |
-1/5 |
7/9 |
|
33 |
45 |
-22 |
-16 |
-2/5 |
8/9 |
|
34 |
40 |
-11 |
-21 |
-3/5 |
7/8 |
|
35 |
40 |
7 |
-20 |
-4/5 |
5/8 |
|
36 |
48 |
22 |
-15 |
-5/6 |
3/8 |
|
37 |
48 |
2 |
-1 |
-1/6 |
1/8 |
|
38 |
49 |
-35 |
-6 |
-1/7 |
6/7 |
|
39 |
49 |
-21 |
-10 |
-2/7 |
5/7 |
|
40 |
49 |
-7 |
-12 |
-3/7 |
4/7 |
|
41 |
49 |
7 |
-12 |
-4/7 |
3/7 |
|
42 |
49 |
21 |
-10 |
-5/7 |
2/7 |
|
43 |
56 |
41 |
-7 |
-7/8 |
1/7 |
|
44 |
48 |
-10 |
-25 |
-5/8 |
5/6 |
|
45 |
48 |
10 |
-3 |
-3/8 |
1/6 |
|
46 |
40 |
-27 |
-4 |
-1/8 |
4/5 |
|
47 |
45 |
13 |
-24 |
-8/9 |
3/5 |
|
48 |
45 |
17 |
-14 |
-7/9 |
2/5 |
|
49 |
45 |
16 |
-5 |
-5/9 |
1/5 |
|
50 |
36 |
-11 |
-12 |
-4/9 |
3/4 |
|
51 |
36 |
-1 |
-2 |
-2/9 |
1/4 |
|
52 |
27 |
-15 |
-2 |
-1/9 |
2/3 |
|
53 |
6 |
-5 |
1 |
1/2 |
1/3 |
|
54 |
6 |
-5 |
1 |
1/3 |
1/2 |
|
55 |
27 |
-15 |
-2 |
2/3 |
-1/9 |
|
56 |
36 |
-1 |
-2 |
1/4 |
-2/9 |
|
57 |
36 |
-11 |
-12 |
3/4 |
-4/9 |
|
58 |
45 |
16 |
-5 |
1/5 |
-5/9 |
|
59 |
45 |
17 |
-14 |
2/5 |
-7/9 |
|
60 |
45 |
13 |
-24 |
3/5 |
-8/9 |
|
61 |
40 |
3 |
-28 |
4/5 |
-7/8 |
|
62 |
48 |
-10 |
-25 |
5/6 |
-5/8 |
|
63 |
48 |
10 |
-3 |
1/6 |
-3/8 |
|
64 |
56 |
-1 |
-1 |
1/7 |
-1/8 |
|
65 |
49 |
28 |
-12 |
2/7 |
-6/7 |
|
66 |
49 |
14 |
-15 |
3/7 |
-5/7 |
|
67 |
49 |
0 |
-16 |
4/7 |
-4/7 |
|
68 |
49 |
-14 |
-15 |
5/7 |
-3/7 |
|
69 |
56 |
-33 |
-14 |
7/8 |
-2/7 |
|
70 |
56 |
-27 |
-5 |
5/8 |
-1/7 |
|
71 |
48 |
22 |
-15 |
3/8 |
-5/6 |
|
72 |
48 |
2 |
-1 |
1/8 |
-1/6 |
|
73 |
45 |
-4 |
-32 |
8/9 |
-4/5 |
|
74 |
45 |
-8 |
-21 |
7/9 |
-3/5 |
|
75 |
45 |
-7 |
-10 |
5/9 |
-2/5 |
|
76 |
45 |
-11 |
-4 |
4/9 |
-1/5 |
|
77 |
36 |
19 |
-6 |
2/9 |
-3/4 |
|
78 |
36 |
5 |
-1 |
1/9 |
-1/4 |
|
79 |
6 |
1 |
-2 |
1/2 |
-2/3 |
|
80 |
9 |
0 |
-1 |
1/3 |
-1/3 |
|
81 |
6 |
-1 |
-2 |
2/3 |
-1/2 |
|
82 |
36 |
-13 |
1 |
1/4 |
1/9 |
|
83 |
36 |
-35 |
6 |
3/4 |
2/9 |
|
84 |
45 |
-29 |
4 |
1/5 |
4/9 |
|
85 |
45 |
-43 |
10 |
2/5 |
5/9 |
|
86 |
45 |
-62 |
21 |
3/5 |
7/9 |
|
87 |
45 |
-76 |
32 |
4/5 |
8/9 |
|
88 |
48 |
-82 |
35 |
5/6 |
7/8 |
|
89 |
48 |
-38 |
5 |
1/6 |
5/8 |
|
90 |
56 |
-29 |
3 |
1/7 |
3/8 |
|
91 |
56 |
-23 |
2 |
2/7 |
1/8 |
|
92 |
49 |
-63 |
18 |
3/7 |
6/7 |
|
93 |
49 |
-63 |
20 |
4/7 |
5/7 |
|
94 |
49 |
-63 |
20 |
5/7 |
4/7 |
|
95 |
56 |
-73 |
21 |
7/8 |
3/7 |
|
96 |
56 |
-51 |
10 |
5/8 |
2/7 |
|
97 |
56 |
-29 |
3 |
3/8 |
1/7 |
|
98 |
48 |
-46 |
5 |
1/8 |
5/6 |
|
99 |
54 |
-57 |
8 |
8/9 |
1/6 |
|
100 |
45 |
-71 |
28 |
7/9 |
4/5 |