document.write( "Question 1075905: Given positive integers x and y such that 1/x,+1/y =1/12 , what is the smallest possible value for x + y? \n" ); document.write( "
Algebra.Com's Answer #690557 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! The equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we think of xy as the area of a rectangle, then the right hand side of (1) is the area, and the left hand side is 6 times the perimeter. The maximum area for minimal perimeter is when the shape is a square (x=y), so let's try x=y: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " Discard x=0 because x and y are positive integers. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |