document.write( "Question 278332: The product of a positive even integer and the reciprocal of the next larger positive even integer equals the reciprocal of the first integer. Find the integer. \n" ); document.write( "
Algebra.Com's Answer #202526 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The product of a positive even integer and the reciprocal of the next larger positive even integer equals the reciprocal of the first integer. Find the integer.\r \n" ); document.write( "\n" ); document.write( "Let one number be x\r \n" ); document.write( "\n" ); document.write( "the other number will be x+2\r \n" ); document.write( "\n" ); document.write( "reciprocal of this number = 1/ x+2\r \n" ); document.write( "\n" ); document.write( "x* 1/ x+2 = 1/x\r \n" ); document.write( "\n" ); document.write( "x/ x+2 =1/x\r \n" ); document.write( "\n" ); document.write( "x^2=x+2\r \n" ); document.write( "\n" ); document.write( "x^2-x-2=0\r \n" ); document.write( "\n" ); document.write( "x^2-2x+x-2=0\r \n" ); document.write( "\n" ); document.write( "x(x-2)+1(x-2)=0\r \n" ); document.write( "\n" ); document.write( "(x+1)(x-2)=0\r \n" ); document.write( "\n" ); document.write( "x=-1 or x=2\r \n" ); document.write( "\n" ); document.write( "Answer 2 \n" ); document.write( " |