Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which equation is equivalent to [tex]\sqrt{x} + 11 = 15[/tex]?

A. [tex]x + 11 = 225[/tex]
B. [tex]x + 121 = 225[/tex]
C. [tex]\sqrt{x} = 15 + 11[/tex]
D. [tex]\sqrt{x} = 15 - 11[/tex]

Sagot :

GinnyAnswer
To determine which equation is equivalent to [tex]\(\sqrt{x} + 11 = 15\)[/tex], we need to isolate the square root term, [tex]\(\sqrt{x}\)[/tex]. Here is a step-by-step solution:

1. Start with the given equation:
[tex]\[ \sqrt{x} + 11 = 15 \][/tex]

2. Isolate the square root term by subtracting 11 from both sides of the equation:
[tex]\[ \sqrt{x} + 11 - 11 = 15 - 11 \][/tex]

3. Simplify the equation:
[tex]\[ \sqrt{x} = 4 \][/tex]

The equivalent equation to [tex]\(\sqrt{x} + 11 = 15\)[/tex] is [tex]\(\sqrt{x} = 15 - 11\)[/tex].

So, the correct choice from the given options is:
[tex]\[ \boxed{\sqrt{x} = 15 - 11} \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.