document.write( "Question 712174: sqrt(7-2x)-sqrt(x+2)=sqrt(x+5)
\n" ); document.write( "I have completed this problem by isolating and removing the radicals and so on, but I do not think the answer I got is correct. The answer I got was x=10/-3 or x=-1.
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Algebra.Com's Answer #437807 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor solved correctly, but FAILED TO check \r\n" );
document.write( "the two answers he got!  But you MUST CHECK!!!\r\n" );
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document.write( "When you square both sides of an equation, you may get\r\n" );
document.write( "extraneous answers so you MUST check such answers to\r\n" );
document.write( "see if they really are solutions.\r\n" );
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document.write( "\"sqrt%287-2x%29-sqrt%28x%2B2%29\"\"%22%22=%22%22\"\"sqrt%28x%2B5%29\"\r\n" );
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document.write( "Checking \"10%2F3\"\r\n" );
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document.write( "\"sqrt%287-2%2810%2F3%29%29-sqrt%28%2810%2F3%29%2B2%29\"\"%22%22=%22%22\"\"sqrt%28%2810%2F3%29%2B5%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%2821%2F3-20%2F3%29-sqrt%2810%2F3%2B6%2F3%29\"\"%22%22=%22%22\"\"sqrt%2810%2F3%2B15%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%281%2F3%29-sqrt%2816%2F3%29\"\"%22%22=%22%22\"\"sqrt%2825%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%281%2F3%29-4sqrt%281%2F3%29\"\"%22%22=%22%22\"\"5sqrt%281%2F3%29\"\r\n" );
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document.write( "That does not check.  So \"10%2F3\" is NOT a solution,\r\n" );
document.write( "it is EXTRANEOUS.\r\n" );
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document.write( "Checking -1\r\n" );
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document.write( "\"sqrt%287-2%28-1%29%29-sqrt%28%28-1%29%2B2%29\"\"%22%22=%22%22\"\"sqrt%28%28-1%29%2B5%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%287%2B2%29-sqrt%281%29\"\"%22%22=%22%22\"\"sqrt%284%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%289%29-1\"\"%22%22=%22%22\"\"2\"\r\n" );
document.write( "\r\n" );
document.write( "\"3-1\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "\"2\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "So there is just one solution, -1.\r\n" );
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document.write( "Edwin
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