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Raiz Enésima Aritmética.

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Resolvido Raiz Enésima Aritmética.

Mensagem por Floral Fury Dom 05 Dez 2021, 11:49

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(I)

Bom dia, amigos!
Sobre a equação acima... eu entendo que ela esteja errada, e justifico por meio dessa solução:
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Penso que, quando tiramos da raíz, devemos por o módulo, q vai ser dado por ±3... só que, como há um -(√9)... logo, o sinal se inverterá para menos ou mais 3.

Mas, o livro afirma que a equação (I) está correta.
Não sei em que parte da minha análise está errada.

Obrigado! Very Happy


Última edição por Floral Fury em Dom 05 Dez 2021, 17:31, editado 1 vez(es)
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Resolvido Re: Raiz Enésima Aritmética.

Mensagem por Elcioschin Dom 05 Dez 2021, 12:14

A equação está correta:


√(x²) = |x| 


√9 = √(3²) = |3| = 3 ---> - √9 = - 3


Leia: https://pir2.forumeiros.com/t65744-prove-que-raiz-de-x-x
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Resolvido Re: Raiz Enésima Aritmética.

Mensagem por Floral Fury Dom 05 Dez 2021, 13:58

Olá Elcio!

Entendi perfeitamente!
Agora, apenas para confirmar:
-> Quando temos então √(x²) = módulo de x = +x
     Caso tenhamos um sinal na frente da raiz, esse sinal vai pra frente do nº.
-> E quando temos x² = ±x
   
Estou certo?
Obrigado!
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Resolvido Re: Raiz Enésima Aritmética.

Mensagem por Elcioschin Dom 05 Dez 2021, 16:11

Isto não tem nada a ver com a sua questão.


O sinal ± aparece antes do radical apenas em equações do 2º grau, em que sabemos que existem 2 raízes:


x = (- b ± √∆)/2.a
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Resolvido Re: Raiz Enésima Aritmética.

Mensagem por Floral Fury Dom 05 Dez 2021, 17:31

Ahh sim, verdade.
Perdão pelo equívoco.

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Resolvido Re: Raiz Enésima Aritmética.

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