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Keven08
@Keven08
April 2020
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Quais as raízes da equação 4x³ – 24x² + 47x – 30 = 0 ?
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SandraRV
4x³ - 24x² + 47x - 30 = 0
Note que 2 é raiz do Polinômio
pois
P (2) = 4*2³ - 24*2² + 94 - 30 = 32 - 96 + 94 - 30 =0
4x³ - 24x² + 47x - 30 I x- 2
-4x³ + 8x².......................4x² - 16x + 15
........-16x² + 47 x
........+16x² -32 x
...................+15 x -30
...................-15 x + 30
...............................0
4x² - 16x + 15 = 0
Delta = 256 - 240
Delta = 16
Sqrt Delta = 4
x´ = (16 + 4)/8 = 20/80 = 5/2 = 2,5
x´´ = (16 - 4)/8 = 12/8 = 3/2 = 1,5
ESPERO QUE ENTENDA AGORA
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Lista de comentários
Note que 2 é raiz do Polinômio
pois
P (2) = 4*2³ - 24*2² + 94 - 30 = 32 - 96 + 94 - 30 =0
4x³ - 24x² + 47x - 30 I x- 2
-4x³ + 8x².......................4x² - 16x + 15
........-16x² + 47 x
........+16x² -32 x
...................+15 x -30
...................-15 x + 30
...............................04x² - 16x + 15 = 0
Delta = 256 - 240
Delta = 16
Sqrt Delta = 4x´ = (16 + 4)/8 = 20/80 = 5/2 = 2,5x´´ = (16 - 4)/8 = 12/8 = 3/2 = 1,5
ESPERO QUE ENTENDA AGORA