document.write( "Question 697088: solve the following algebraically:\r
\n" ); document.write( "\n" ); document.write( "\"x-3=+sqrt%28x%5E2%2B3x%29\"\r
\n" ); document.write( "\n" ); document.write( "my work:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2=+sqrt+%28x%5E2%2B3x%29%5E2\"
\n" ); document.write( "\"x%5E2-18x%2B9=x%5E2%2B3x\"
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\n" ); document.write( "Then i subtracted \"x%5E2%2B3x\" from both sides and got:\r
\n" ); document.write( "\n" ); document.write( "-21x+9=0 and pulled out a 3 and got 3(7x+3) as my final answer.
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Algebra.Com's Answer #429661 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
solve the following algebraically:\r
\n" ); document.write( "\n" ); document.write( "\"x-3=+sqrt%28x%5E2%2B3x%29\"\r
\n" ); document.write( "\n" ); document.write( "my work:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2=+sqrt+%28x%5E2%2B3x%29%5E2\"
\n" ); document.write( "\"x%5E2-18x%2B9=x%5E2%2B3x\"
\n" ); document.write( "
\n" ); document.write( "Then i subtracted \"x%5E2%2B3x\" from both sides and got:\r
\n" ); document.write( "\n" ); document.write( "-21x+9=0 and pulled out a 3 and got 3(7x+3) as my final answer. \r
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\n" ); document.write( "\n" ); document.write( "\"x+-+3+=+sqrt%28x%5E2+%2B+3x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x+-+3%29%5E2+=+%28sqrt%28x%5E2+%2B+3x%29%29%5E2\" ---- Correct up to this point\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+18x+%2B+9+=+x%5E2+%2B+3x\" ----- Incorrect\r
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\n" ); document.write( "\n" ); document.write( "s/b: \"x%5E2++-+6x+%2B+9+=+x%5E2+%2B+3x\"\r
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\n" ); document.write( "\n" ); document.write( "After solving this, you should get: x = 1, but this makes the left-side negative, and, as the square root of an expression CANNOT equal a negative value, an EXTRANEOUS solution exists. Therefore, there is NO SOLUTION.
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