document.write( "Question 1018497: Find the value m and n if $\"m%2Bnp%5E2=5m-np%5E2=12\"$
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Algebra.Com's Answer #634897 by Edwin McCravy(20059) $\"\"$ $\"About$

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\n" ); document.write( " $\"m%2Bnp%5E2=5m-np%5E2=12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"system%28m%2Bnp%5E2=12%2C5m-np%5E2=12%29\"$ \r
\n" ); document.write( "\n" ); document.write( "let $\"x=np%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"system%28m%2Bx=12%2C5m-x=12%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Solve that and get \r
\n" ); document.write( "\n" ); document.write( " $\"m+=+4\"$
\n" ); document.write( " $\"x+=+8\"$
\n" ); document.write( " $\"np%5E2=8\"$ \r
\n" ); document.write( "\n" ); document.write( "The only whole number solution is when p=n=2\r
\n" ); document.write( "\n" ); document.write( "So m=4, n=2, p=2 are the only whole number solutions.\r
\n" ); document.write( "\n" ); document.write( "Edwin\r
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