document.write( "Question 770324: find two numbers such that their sum multiplied by the sum of their squares is 5500, and their difference multiplied by the difference of their squares is 352. \n" ); document.write( "
Algebra.Com's Answer #469428 by oscargut(2103)\"\" \"About 
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Hi,\r
\n" ); document.write( "\n" ); document.write( "Here is a summary of the solution:\r
\n" ); document.write( "\n" ); document.write( "(a+b)(a2+b2)= 5500
\n" ); document.write( "(a-b) (a2-b2) = 352 then (a-b)2(a+b) = 352\r
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\n" ); document.write( "\n" ); document.write( "Then:\r
\n" ); document.write( "\n" ); document.write( "5500/(a2-b2) = 352/(a-b)2\r
\n" ); document.write( "\n" ); document.write( "Then (a-b)2 must be a factor of 352 then (a-b)2 = 4 or (a-b)2 = 16\r
\n" ); document.write( "\n" ); document.write( "But it can`t be 4, (a-b)2 = 16\r
\n" ); document.write( "\n" ); document.write( "Then: a2+b2=250 (a-b) = 4\r
\n" ); document.write( "\n" ); document.write( "So a solution is a = 13 and b = 9\r
\n" ); document.write( "\n" ); document.write( "Answer: a = 13 and b = 9\r
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\n" ); document.write( "\n" ); document.write( "You can ask me more at: mthman@gmail.com\r
\n" ); document.write( "\n" ); document.write( "Thanks\r
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