Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 20CT
Related questions
Question
![**Problem: Solve for \( x \)**
Given:
\[ \sqrt{2x} = 8 \]
Possible solutions:
- \( x = 64 \)
- \( x = 4 \)
- \( x = 32 \)
- \( x = 16 \)
To solve for \( x \), start by squaring both sides of the equation to eliminate the square root.
\[ (\sqrt{2x})^2 = 8^2 \]
\[ 2x = 64 \]
Next, divide both sides by 2 to isolate \( x \).
\[ x = \frac{64}{2} \]
\[ x = 32 \]
Therefore, the solution to the equation is \( x = 32 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15430a79-cfc8-483e-83f7-796f8bb05713%2F4d14e18d-35cd-4059-a796-3022734c151a%2F0sukkci_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Solve for \( x \)**
Given:
\[ \sqrt{2x} = 8 \]
Possible solutions:
- \( x = 64 \)
- \( x = 4 \)
- \( x = 32 \)
- \( x = 16 \)
To solve for \( x \), start by squaring both sides of the equation to eliminate the square root.
\[ (\sqrt{2x})^2 = 8^2 \]
\[ 2x = 64 \]
Next, divide both sides by 2 to isolate \( x \).
\[ x = \frac{64}{2} \]
\[ x = 32 \]
Therefore, the solution to the equation is \( x = 32 \).
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