SOLUTION: Please Help me Answer this Question 5. Which of the following radical equations has an extraneous solution? A. √𝑥 + 3 = 𝑥 + 3 C. √𝑥 − 2 = 𝑥 − 2 B. √3𝑥

Algebra.Com
Question 1175780: Please Help me Answer this Question
5. Which of the following radical equations has an extraneous solution?
A. √𝑥 + 3 = 𝑥 + 3 C. √𝑥 − 2 = 𝑥 − 2
B. √3𝑥 − 6 = 𝑥 − 2 D.√𝑥 + 6 = 𝑥 + 4

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13216)   (Show Source): You can put this solution on YOUR website!


In each equation, isolate the term with the radical on one side, then square both sides to get rid of the radical. The resulting equation might have solutions that are not solutions of the original equation. Such solutions are called extraneous.

Note that after the radicals are isolated, answer choices A and C are the same, so the answer is either choice B or D.

Follow the well-defined procedure for solving each of those. For one of them you will find there are no solutions. For the other you will find there are two solutions, but only one of them satisfies the original equation.


Answer by ikleyn(52915)   (Show Source): You can put this solution on YOUR website!
.

As your post is formatted, we CAN NOT READ it properly, since it is unclear, where is the end of each square root.

When the post includes formulas, they should be presented in plain text (.txt-) format.

It means that the formulas should be PRINTED in the text editor using your keyboard.

Simple copy-paste will not reproduce the formulas correctly.


    For square root, use  " sqrt ".


    For example, square root of 7 write as sqrt(7).


    Use PARENTHESES to separate and correctly present different parts of formulas,

    like this  sqrt(x+3)  for  ,  or  sqrt(x)+3  for  .


Do you understand me in full ?





RELATED QUESTIONS

please help me answer this equation 1. Which of the following is/are true statement/s? (answered by MathLover1)
Please Help Me Answer This Problem Which of the following radical equations has no... (answered by MathLover1)
Please help me solve this problem: Which of the following equations have extraneous... (answered by stanbon)
Please help me answer this question. Which of the following equations describes a line (answered by Alan3354)
Please answer this question for me. If one linear equation is y=(-3)x+5, which of the... (answered by funmath,stanbon)
Please help me solve the following question...I'm so confused! While the radical symbol... (answered by josmiceli)
Solve the following equations and inequality for x. If the solution is extraneous, please (answered by josgarithmetic)
I ned help. I have been having problem solving these questions. Kindly help me on these (answered by stanbon)
Please help me answer this question. Which of the following equations describes a line (answered by macston)