Solve. Check for extraneous solutions. √4y+3-√3y+6=0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem:**
Solve the equation and check for extraneous solutions.

\[
\sqrt{4y + 3} - \sqrt{3y + 6} = 0
\]

**Solution:**
Find the solution for \( y \) and check for its validity. 

The equation is rewritten as two separate radicals. Verify if the solution obtained makes the original equation true.

**Answer Format:**
The solution is \( y = \) [input box].

_(Simplify your answer. Type an integer or a fraction.)_
Transcribed Image Text:**Problem:** Solve the equation and check for extraneous solutions. \[ \sqrt{4y + 3} - \sqrt{3y + 6} = 0 \] **Solution:** Find the solution for \( y \) and check for its validity. The equation is rewritten as two separate radicals. Verify if the solution obtained makes the original equation true. **Answer Format:** The solution is \( y = \) [input box]. _(Simplify your answer. Type an integer or a fraction.)_
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