Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Solve for [tex]\( x \)[/tex]:

[tex]\[ a - c \sqrt{x + m} = b \][/tex]

Isolate [tex]\( x \)[/tex]:

[tex]\[ x = \left( \frac{a - b}{c} \right)^2 - m \][/tex]


Sagot :

Para despejar [tex]\( x \)[/tex] de la ecuación [tex]\( a - c \sqrt{x + m} = b \)[/tex], vamos a seguir estos pasos:

1. Aislar el término con la raíz cuadrada:
[tex]\[ a - b = c \sqrt{x + m} \][/tex]
restando [tex]\( b \)[/tex] de ambos lados de la ecuación obtienes:
[tex]\[ a - b = c \sqrt{x + m} \][/tex]

2. Dividir ambos lados de la ecuación por [tex]\( c \)[/tex]:
[tex]\[ \frac{a - b}{c} = \sqrt{x + m} \][/tex]

3. Elevar ambos lados al cuadrado para eliminar la raíz cuadrada:
[tex]\[ \left( \frac{a - b}{c} \right)^2 = x + m \][/tex]

4. Restar [tex]\( m \)[/tex] de ambos lados para aislar [tex]\( x \)[/tex]:
[tex]\[ x = \left( \frac{a - b}{c} \right)^2 - m \][/tex]

Por lo tanto, [tex]\( x \)[/tex] despejado es:
[tex]\[ x = \left( \frac{a - b}{c} \right)^2 - m \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.