document.write( "Question 887984: a positive number is divided into two parts such that the sum of the squares of the two parts is 20.the square of the larger part is 8 times the smaller part. taking x as the smaller part of the two parts,find the number \n" ); document.write( "
Algebra.Com's Answer #537055 by ankor@dixie-net.com(22740)\"\" \"About 
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a positive number is divided into two parts such that the sum of the squares of the two parts is 20.
\n" ); document.write( "x^2 + y^2 = 20
\n" ); document.write( ":
\n" ); document.write( " the square of the larger part is 8 times the smaller part.
\n" ); document.write( "y^2 = 8x
\n" ); document.write( ":
\n" ); document.write( " taking x as the smaller part of the two parts, find the number
\n" ); document.write( "In the 1st equation replace y^2 with 8x
\n" ); document.write( "x^2 + 8x = 20
\n" ); document.write( "x^2 + 8x - 20 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-2)(x+10) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 2,
\n" ); document.write( "therefore
\n" ); document.write( "y = \"sqrt%288%2A2%29\"
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( "4 and 2 are the two numbers
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\n" ); document.write( "Check: 4^2 + 2^2 = 20 \n" ); document.write( "
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