document.write( "Question 967069: A student was asked to solve the following problem:
\n" ); document.write( "\"+x-+sqrt%28+17-4x+%29+=3+\"\r
\n" ); document.write( "\n" ); document.write( "and provided the following solution.\r
\n" ); document.write( "\n" ); document.write( "(Step 1) \"+%28x-+sqrt%28+17-4x+%29%29%5E2=3%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "(Step 2) \"+x%5E2+-%2817-4x%29=9+\"\r
\n" ); document.write( "\n" ); document.write( "(Step 3) \"+x%5E2+%2B4x-26=0+\"\r
\n" ); document.write( "\n" ); document.write( "(Step 4) \"+x=+-4%2B-sqrt%28+4%5E2-4%281%29%28-26%29+%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "(Step 5) \"+x=+-4%2B-sqrt%28+120+%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "(Step 6) \"+x=+-2%2B-+sqrt%28+60+%29+=+-2%2B-+2sqrt%28+15+%29+\"\r
\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "I appreciate any help provided! Thank you!
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Algebra.Com's Answer #591079 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Personally and as typically taught, first isolate the one radical...\r
\n" ); document.write( "\n" ); document.write( "This can be started in ones head:
\n" ); document.write( "\"sqrt%2817-4x%29=x-3\"\r
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\n" ); document.write( "\n" ); document.write( "Now square both sides:
\n" ); document.write( "\"17-4x=x%5E2-6x%2B3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "...into general form:
\n" ); document.write( "\"x%5E2-2x%2B3-17\"
\n" ); document.write( "\"x%5E2-2x-14=0\"
\n" ); document.write( "-
\n" ); document.write( "\"x=%282%2B-+sqrt%284%2B4%2A14%29%29%2F2\"
\n" ); document.write( "\"x=%282%2B-+sqrt%2860%29%29%2F2\"
\n" ); document.write( "\"x=%282%2B-+2sqrt%2815%29%29%2F2\"
\n" ); document.write( "\"highlight%28x=1%2B-+sqrt%2815%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "Step #2 in the originally given problem looks very bad.
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