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,...
Related questions
Question
x + 3= square root of 5x+21
![## Problem 2: Algebraic Solution Task
### Objective:
Solve the following equation algebraically:
\[
x + 3 = \sqrt{5x + 21}
\]
### Explanation:
The task requires finding the value of \( x \) that satisfies the given equation.
Steps to consider:
1. Isolate the square root by moving other terms to one side.
2. Square both sides to eliminate the square root.
3. Solve the resulting equation, which may be quadratic.
4. Check all potential solutions to ensure they satisfy the original equation, as squaring can introduce extraneous solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e3a45fd-cdcd-4702-a358-b2623682a3bf%2F722099fd-6223-4382-afb4-ca0f90872567%2Fpemrzni_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem 2: Algebraic Solution Task
### Objective:
Solve the following equation algebraically:
\[
x + 3 = \sqrt{5x + 21}
\]
### Explanation:
The task requires finding the value of \( x \) that satisfies the given equation.
Steps to consider:
1. Isolate the square root by moving other terms to one side.
2. Square both sides to eliminate the square root.
3. Solve the resulting equation, which may be quadratic.
4. Check all potential solutions to ensure they satisfy the original equation, as squaring can introduce extraneous solutions.
Expert Solution
Step 1
Given : x + 3 = √(5x + 21)
Step by step
Solved in 2 steps with 1 images
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