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Si [tex]\(1 + \frac{1}{x} = 10\)[/tex], entonces el valor de [tex]\(1 - x\)[/tex] es igual a:

Sagot :

GinnyAnswer
Para resolver la ecuación [tex]\(1 + \frac{1}{x} = 10\)[/tex] y encontrar el valor de [tex]\(1 - x\)[/tex], sigamos los siguientes pasos:

1. Restamos 1 de ambos lados de la ecuación para aislar el término [tex]\(\frac{1}{x}\)[/tex]:

[tex]\[ 1 + \frac{1}{x} - 1 = 10 - 1 \][/tex]

Simplificando esto, obtenemos:

[tex]\[ \frac{1}{x} = 9 \][/tex]

2. Tomamos el recíproco de ambos lados para despejar [tex]\(x\)[/tex]:

[tex]\[ x = \frac{1}{9} \][/tex]

3. Sustituimos el valor de [tex]\(x\)[/tex] en la expresión [tex]\(1 - x\)[/tex] para encontrar el valor deseado:

[tex]\[ 1 - x = 1 - \frac{1}{9} \][/tex]

Simplificamos la resta:

[tex]\[ 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9} \][/tex]

Por lo tanto, el valor de [tex]\(1 - x\)[/tex] es:

[tex]\[ 1 - x = 0.8888888888888888 \][/tex]

Además, sabemos que el valor de [tex]\(x\)[/tex] es:

[tex]\[ x = 0.1111111111111111 \][/tex]

En resumen, [tex]\(x\)[/tex] es aproximadamente [tex]\(0.1111\)[/tex] y [tex]\(1 - x\)[/tex] es aproximadamente [tex]\(0.8889\)[/tex].
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