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(13215)   (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(52914)  (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 ?
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