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Dani76561
@Dani76561
December 2019
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Resolva a equação x³ – 9x² + 26x – 24 = 0 sabendo que suas raízes são números inteiros e consecutivos
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Martin1999
Verified answer
Sendo as raízes números inteiros e consecutivos temos que :
S = x1 + x2 + x3
S = x1 + (x1 + 1) + (x1 + 2)
Usando as relações de Girard :
S = -b/a
S = -(-9)/1
S = 9
Finalizando
9 = x1 + x1 + 1 + x1 + 2
6 = 3x1
x1 = 2
Sendo consecutivos : x1 = 2, x2 = 3 e x3 = 4
9 votes
Thanks 13
Dani76561
Nossa me ajudou muito!!!!!!
albertrieben
Boa noite Dani
soma das raizes
x + (x + 1) + (x + 2) = 9
3x + 3 = 9
3x = 6
x = 2
x1 = 2
x2 = 3
x3 = 4
3 votes
Thanks 4
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Lista de comentários
Verified answer
Sendo as raízes números inteiros e consecutivos temos que :S = x1 + x2 + x3
S = x1 + (x1 + 1) + (x1 + 2)
Usando as relações de Girard :
S = -b/a
S = -(-9)/1
S = 9
Finalizando
9 = x1 + x1 + 1 + x1 + 2
6 = 3x1
x1 = 2
Sendo consecutivos : x1 = 2, x2 = 3 e x3 = 4
soma das raizes
x + (x + 1) + (x + 2) = 9
3x + 3 = 9
3x = 6
x = 2
x1 = 2
x2 = 3
x3 = 4