document.write( "Question 633272: 1.The sum of two numbers is 106, the difference of squares of two numbers is 56. Find the two numbers.\r
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Algebra.Com's Answer #398793 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x + y = 106\r \n" ); document.write( "\n" ); document.write( "x = 106 - y\r \n" ); document.write( "\n" ); document.write( "x^2 - y^2 = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(106 - y)^2 - y^2 = 56\r \n" ); document.write( "\n" ); document.write( "11236 - 212y + y^2 - y^2 = 56\r \n" ); document.write( "\n" ); document.write( "11236 - 212y = 56\r \n" ); document.write( "\n" ); document.write( "212y = 11236 - 56\r \n" ); document.write( "\n" ); document.write( "212y = 11180\r \n" ); document.write( "\n" ); document.write( "y = 52.7358\r \n" ); document.write( "\n" ); document.write( "x = 106 - y = 106 - 52.7358 = 53.2642\r \n" ); document.write( "\n" ); document.write( "(53.2642)^2 - (52.7358)^2 = 2837.08 - 2781.08 = 56 \n" ); document.write( " |