document.write( "Question 41589: One positive number is 8 more than another. The sum of their squares is 130. Find both numbers. \n" ); document.write( "

Algebra.Com's Answer #26856 by Nate(3500) $\"\"$ $\"About$

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Equation:
\n" ); document.write( " $\"y%5E2+%2B+x%5E2+=+130\"$
\n" ); document.write( " $\"y%5E2+=+130+-+x%5E2\"$
\n" ); document.write( " $\"y+=+sqrt%28130+-+x%5E2%29\"$
\n" ); document.write( "Other Equation:
\n" ); document.write( " $\"y+=+x+%2B+8\"$
\n" ); document.write( "Plug:
\n" ); document.write( " $\"y+=+x+%2B+8\"$
\n" ); document.write( " $\"sqrt%28130+-+x%5E2%29+=+x+%2B+8\"$
\n" ); document.write( " $\"130+-+x%5E2+=+x%5E2+%2B+16x+%2B+64\"$
\n" ); document.write( " $\"0+=+2x%5E2+%2B+16x+-+66\"$
\n" ); document.write( " $\"0+=+x%5E2+%2B+8x+-+33\"$
\n" ); document.write( " $\"0+=+x%5E2+%2B+11x+-+3x+-+33\"$
\n" ); document.write( " $\"0+=+%28x%5E2+%2B+11x%29+%2B+%28-3x+-+33%29\"$
\n" ); document.write( " $\"0+=+x%28x+%2B+11%29+-+3%28x+%2B+11%29\"$
\n" ); document.write( " $\"0+=+%28x+-+3%29%28x+%2B+11%29\"$
\n" ); document.write( " $\"x+=+3\"$ and $\"x+=+-11\"$
\n" ); document.write( "Plug:
\n" ); document.write( " $\"y%5E2+%2B+3%5E2+=+130\"$
\n" ); document.write( " $\"y%5E2+%2B+9+=+130\"$
\n" ); document.write( " $\"y%5E2+=+121\"$
\n" ); document.write( " $\"y+=+11\"$ or $\"y+=+-11\"$
\n" ); document.write( "The numbers are three and eleven. \n" ); document.write( "

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