document.write( "Question 1004469: divide 50 into two parts, so that the difference of the square each part is 2000.find each part. \n" ); document.write( "
Algebra.Com's Answer #620951 by ankor@dixie-net.com(22740)\"\" \"About 
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divide 50 into two parts, so that the difference of the square each part is 2000.find each part.
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\n" ); document.write( "Two parts, x and (50-x)
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\n" ); document.write( "x^2 - (50-x)^2 = 2000
\n" ); document.write( "FOIL (50-x)(50-x)
\n" ); document.write( "x^2 - (2500 - 100x + x^2) = 2000
\n" ); document.write( "removing brackets changes the signs
\n" ); document.write( "x^2 - 2500 + 100x - x^2 = 2000
\n" ); document.write( "combine like terms
\n" ); document.write( "100x = 2000 + 2500
\n" ); document.write( "100x = 4500
\n" ); document.write( "x = 4500/100
\n" ); document.write( "x = 45 is one part and obviously, 5 is the other part
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\n" ); document.write( "See if that checks out
\n" ); document.write( "45^2 - 5^2 =
\n" ); document.write( "2025 - 25 = 2000
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