document.write( "Question 996128: Please help me solve this equation: \"+sqrt+%28sqrt+%28x%2B5%29+%2Bx%29+=+5+\" \n" ); document.write( "
Algebra.Com's Answer #614686 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "\"+sqrt+%28sqrt+%28x%2B5%29+%2Bx%29+\" = \"+5+\".\r
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\n" ); document.write( "\n" ); document.write( "Square both sides. You will get\r
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\n" ); document.write( "\n" ); document.write( "\"+sqrt+%28x%2B5%29+%2Bx+\" = \"+25+\".\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%2B5%29\" = \"25-x\",\r
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\n" ); document.write( "\n" ); document.write( "Square both sides again. You will get\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+5\" = \"%2825+-+x%29%5E2\",\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+5\" = \"625+-+50x+%2B+x%5E2\",\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+51x+%2B+620\" = \"0\".\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D\" = \"20\", \"x%5B2%5D\" = \"31\"\r
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\n" ); document.write( "\n" ); document.write( "Check. \"x%5B1%5D\" = \"20\" :   \"+sqrt+%28sqrt+%2820%2B5%29+%2B20%29+\" = \"+sqrt+%28sqrt+%2825%29+%2B20%29+\" = \"+sqrt+%285+%2B20%29+\" = \"+sqrt+%2825%29+\" = \"5\".         OK!\r
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\n" ); document.write( "\n" ); document.write( "            \"x%5B2%5D\" = \"31\" :   \"+sqrt+%28sqrt+%2831%2B5%29+%2B31%29+\" = \"+sqrt+%28sqrt+%2836%29+%2B31%29+\" = \"+sqrt+%28-6+%2B31+%29+\" = \"+sqrt+%2825%29+\" = \"5\".     It is OK,  if you admit  \"sqrt%2836%29\" = \"-6\".\r
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