1-2,4,6,8
2-32,87
3-5,7,9
4-23,37
5-4,6,8
6-10,9,3,4
7-6,7,8,9
8-0,9,27
9-5,6,7,8
10-2,3,4
11-57,89
12-43,89
<span>(х+1)(х+2)(х+3)(х+4) = 3,
</span>(x-1)(x-4)*(x-2)(x-3) = 3,
(х²-4х-х+4)*(х²-3х-2х+6) = 3,
(х²-5х+4)*(х²-5х+6) = 3,
(х²-5х+4)*(х²-5х+4+2) = 3,
пусть (х²-5х+4) = а, тогда:
а * (а + 2) = 3,
а² + 2а - 3 = 0,
Д = 2² - 4*1*(-3) = 4 + 12 = 16,
а1 = (-2+4)/2*1 = 2/2 = 1,
а2 = (-2-4)/2*1 = -6/2 = -3,
при а1=1:
(х²-5х+4) = а,
х² - 5х + 4 = 1,
х² - 5х + 3 = 0,
Д = (-5)² - 4*1*3 = 25 - 12 = 13,
х1 = (5 + √13) / 2,
х2 = (5 - √13) / 2
при а2=-3,
(х²-5х+4) = а,
х² - 5х + 4 = -3,
х² - 5х + 7 = 0,
Д = (-5)² - 4*1*7 = 25 - 28 = - 3 < 0,
корней нет
Ответ: х1 = (5 + √13) / 2, х2 = (5 - √13) / 2
987, 654, 321, 0.
9., 8,7, 6,5, 4,3, 2,1, 0.
0, 1, 2, 3,4,5, 6,7, 8, 9.
34-х=1376:86
34-х=16
х=34-16
х=18