document.write( "Question 397781: The sum of two integers is 45 and their product is 500.What are the two integers? \n" ); document.write( "
Algebra.Com's Answer #281832 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Let integers are x and y.\r \n" ); document.write( "\n" ); document.write( "x+y=45 \n" ); document.write( "=> x = 45-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x*y = 500\r \n" ); document.write( "\n" ); document.write( "=> y(45-y) = 500\r \n" ); document.write( "\n" ); document.write( "=> 45y -y^2 = 500\r \n" ); document.write( "\n" ); document.write( "=> y^2 -45y + 500 = 0\r \n" ); document.write( "\n" ); document.write( "=> y^2 -25y -20y + 500 = 0\r \n" ); document.write( "\n" ); document.write( "=> y(y-25) -20(y-25) = 0\r \n" ); document.write( "\n" ); document.write( "=> (y-20)(y-25) = 0\r \n" ); document.write( "\n" ); document.write( "so, y=20 , x =25 \r \n" ); document.write( "\n" ); document.write( "or y = 25 , x =20\r \n" ); document.write( "\n" ); document.write( "numbers are 20 and 25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |