Valentina solved the equations below for x as part of her math homework. Which ones should she check for extraneous solutions? Select all that apply. A B ²-1=0 x+1= //
Valentina solved the equations below for x as part of her math homework. Which ones should she check for extraneous solutions? Select all that apply. A B ²-1=0 x+1= //
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter9: Roots And Radicals
Section9.3: Add And Subtract Square Roots
Problem 232E: Explain the process for determining whether two radicals are like or unlike. Make sure your answer...
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![### Equations and Extraneous Solutions
Valentina solved the equations below for \( x \) as part of her math homework.
**Question:**
Which ones should she check for extraneous solutions?
**Instructions:**
Select all that apply.
**Options:**
**A.** \( x^2 - 1 = 0 \)
**B.** \( \frac{x}{|x| + 1} = \frac{2}{5} \)
**C.** \( x = \sqrt{x + 2} \)
**D.** \( \frac{1}{x - 3} = \frac{6}{x^2 - 9} \)
**E.** \( \sqrt[3]{2x - 3} = x - 4 \)
Please review each equation and determine if checking for extraneous solutions is necessary. Remember, extraneous solutions are results that arise from the algebraic manipulation of equations but do not satisfy the original equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49f3780a-28a2-46b6-87ed-383224f06a60%2Fe20f7dce-e5c5-4a9d-8c74-b9d119fad12e%2F7mo5r7e_processed.png&w=3840&q=75)
Transcribed Image Text:### Equations and Extraneous Solutions
Valentina solved the equations below for \( x \) as part of her math homework.
**Question:**
Which ones should she check for extraneous solutions?
**Instructions:**
Select all that apply.
**Options:**
**A.** \( x^2 - 1 = 0 \)
**B.** \( \frac{x}{|x| + 1} = \frac{2}{5} \)
**C.** \( x = \sqrt{x + 2} \)
**D.** \( \frac{1}{x - 3} = \frac{6}{x^2 - 9} \)
**E.** \( \sqrt[3]{2x - 3} = x - 4 \)
Please review each equation and determine if checking for extraneous solutions is necessary. Remember, extraneous solutions are results that arise from the algebraic manipulation of equations but do not satisfy the original equation.
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