document.write( "Question 1123105: If a number is subtracted from 43,the principal square root of this difference is equal to the number decreased by 1, Find the number.\r
\n" ); document.write( "\n" ); document.write( "A) {-6}
\n" ); document.write( "B) {6,-7}
\n" ); document.write( "c) {7}
\n" ); document.write( "D) {-6,7}
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Algebra.Com's Answer #739332 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"sqrt%2843+-+x%29+=+x+-+1+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%2843+-+x%29%29%5E2+=+%28x+-+1%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"43+-+x+=+x%5E2+-2x%2B1+\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2%2Bx+-2x%2B1-43+\"\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E2+-x-42=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B6x+-7x-42=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%28x%5E2%2B6x+%29-%287x%2B42%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+x%28x%2B6+%29-7%28x%2B6%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-+7%29+%28x+%2B+6%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"x+-+7+=+0\" =>\"x=7\"\r
\n" ); document.write( "\n" ); document.write( "if \"+x+%2B+6+=+0\" =>\"x=-6\"\r
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\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "\"x=7\"
\n" ); document.write( "\"sqrt%2843+-+7%29+=+7-+1+\"=>\"sqrt%2836%29+=+6+\"=>\"6+=+6+\" which is true\r
\n" ); document.write( "\n" ); document.write( "\"x=-6\"
\n" ); document.write( "\"sqrt%2843+-+%28-6%29%29+=-6-+1+\"=>\"sqrt%2849%29+=+-7+\"=>\"7+=+-7+\" which is not true\r
\n" ); document.write( "\n" ); document.write( "so, your answer is C) {7}\r
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