SOLUTION: A student was asked to solve the following problem: {{{ x- sqrt( 17-4x ) =3 }}} and provided the following solution. (Step 1) {{{ (x- sqrt( 17-4x ))^2=3^2 }}} (Step 2)

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Question 967069: A student was asked to solve the following problem:

and provided the following solution.
(Step 1)
(Step 2)
(Step 3)
(Step 4)
(Step 5)
(Step 6)
Identify the mistakes the student made. Make sure to analyze the entire solution as there may be multiple mistakes. Lastly, show the correct answer to the equation.

I appreciate any help provided! Thank you!

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Personally and as typically taught, first isolate the one radical...
This can be started in ones head:


Now square both sides:


...into general form:


-






---
Step #2 in the originally given problem looks very bad.

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