a)
0 = x²(x+4) -1(x+4)
(x² - 1 ) (x+4) = 0
(x + 1) (x - 1) (x + 4) = 0
x € {-4, -1, 1}
b)
0 = x² (x + 2) - 1 (x+2)
(x²- 1) (x + 2) = 0
(x + 1) (x - 1) (x + 2) = 0
x € {-2, -1, 1}
c)
4x²(x + 1) - 1 (x + 1) = 0
(x + 1) (4x² - 1) = 0
(x + 1) (2x - 1) (2x + 1) = 0
x € {-1, -1/2, 1/2}
d)
W(-1) = -3 + 20 -11 -6 = 0
(x + 1) (3x²+17x-6) = 0
∆ = 289 - 4 x 3 x -6 = 289 - 72 = 217
√∆ = √217
x1 = (17 - √217)/6
x2 = (17 + √217) /6
x3 = -1
3 pierwsze są dobrze co do 4 dziwny wynik mi wyszedł więc nie wiem.
| 3 | 20 | 11 | -6
| | | |
-----------------------------------------------------
-1 | 3 | -17 | -6 | 0
| | | |
