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2. Calcula el valor positivo para "x" de modo que cumpla la siguiente igualdad.

[tex]\[ 121 - x^2 = 0 \][/tex]

a. 8
b. 11
c. -6
d. -8
e. -10

Sagot :

GinnyAnswer
Claro, vamos a resolver el problema paso a paso.

1. Planteamiento de la ecuación:
Dada la ecuación:
[tex]\[ 121 - x^2 = 0 \][/tex]

2. Reorganizar la ecuación:
Nuestro objetivo es encontrar el valor de [tex]\( x \)[/tex]. Primero, vamos a mover [tex]\( x^2 \)[/tex] al lado derecho de la ecuación:
[tex]\[ 121 = x^2 \][/tex]

3. Aislar [tex]\( x \)[/tex]:
Para encontrar [tex]\( x \)[/tex], necesitamos tomar la raíz cuadrada en ambos lados de la ecuación:
[tex]\[ x = \sqrt{121} \][/tex]

4. Calcular la raíz cuadrada:
Sabemos que:
[tex]\[ \sqrt{121} = 11 \][/tex]

Ya que estamos buscando el valor positivo de [tex]\( x \)[/tex], tomamos:
[tex]\[ x = 11 \][/tex]

Por lo tanto, la respuesta correcta es:

b. 11
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