document.write( "Question 1047495: I need help with this setting up this question and I'm not sure what the format of the answer should be:
\n" ); document.write( "Let f(x)=sqrt(x+2) -x. Find all numbers x, if any, such that f(x)= -4
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Algebra.Com's Answer #663021 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"f%28x%29=sqrt%28x%2B2%29+-x\"\r
\n" ); document.write( "\n" ); document.write( " Find all numbers \"x\", if any, such that \"f%28x%29=+-4\"\r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%28x%2B2%29-x\"\r
\n" ); document.write( "\n" ); document.write( "\"x-4=sqrt%28x%2B2%29-x%2Bx\"\r
\n" ); document.write( "\n" ); document.write( "\"x-4=sqrt%28x%2B2%29\".........square both sides\r
\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%5E2=%28sqrt%28x%2B2%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-8x%2B16=x%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-8x%2B16-x-2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-9x%2B14=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-7x%2B14=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-2x%29-%287x-14%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x-2%29-7%28x-2%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-7%29+%28x-2%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28x-7%29++=+0\"->\"x=7\"\r
\n" ); document.write( "\n" ); document.write( "if \"%28x-2%29++=+0\"->\"x=2\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%28x%2B2%29-x\" if \"x=7\"\r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%287%2B2%29-7\" \r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%289%29-7\" .......since \"sqrt%289%29\"= \"3\" or \"-3\", we can use \"3\" only\r
\n" ); document.write( "\n" ); document.write( "\"-4=3-7\"
\n" ); document.write( "
\n" ); document.write( "\"-4=-4\" \r
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\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%28x%2B2%29-x\" if \"x=2\"\r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%282%2B2%29-2\" \r
\n" ); document.write( "\n" ); document.write( "\"-4=sqrt%284%29-2\" .......since \"sqrt%284%29\"= \"2\" or \"-2\", we can use \"-2\" only\r
\n" ); document.write( "\n" ); document.write( "\"-4=-2-2\"
\n" ); document.write( "
\n" ); document.write( "\"-4=-4\" \r
\n" ); document.write( "\n" ); document.write( "
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