document.write( "Question 696756: \r
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\n" ); document.write( "\n" ); document.write( "Divide 41 into two positive parts such that difference of their squares is 369. \n" ); document.write( "
Algebra.Com's Answer #429287 by ankor@dixie-net.com(22740)\"\" \"About 
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Divide 41 into two positive parts such that difference of their squares is 369
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\n" ); document.write( "Let x = one number
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\n" ); document.write( "(41-x) = the other number
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\n" ); document.write( "(41-x)^2 - x^2 = 369
\n" ); document.write( "FOIL
\n" ); document.write( "1681 - 82x + x^2 - x^2 = 369
\n" ); document.write( "-82x = 369 - 1681
\n" ); document.write( "-82x = -1312
\n" ); document.write( "x = -1312/-82
\n" ); document.write( "x = +16 is one number
\n" ); document.write( "and
\n" ); document.write( "41 - 16 = 25 is the other number
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\n" ); document.write( "Check
\n" ); document.write( "25^2 - 16^2 =
\n" ); document.write( "625 - 256 = 369 \n" ); document.write( "
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