document.write( "Question 724816: Write an equation that can be used to solve the problem. Then answer the question asked. The sum of the reciprocals of two consecutive even integers is 5/12. Find the 2 integers. \n" ); document.write( "
Algebra.Com's Answer #443914 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the integers be x & x+2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply the equation by 12x(x+2)\r \n" ); document.write( "\n" ); document.write( "12(x+2) +12x=5x(x+2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12x+24+12x=5x^2+10x\r \n" ); document.write( "\n" ); document.write( "rearrange\r \n" ); document.write( "\n" ); document.write( "5x^2-14x-24=0\r \n" ); document.write( "\n" ); document.write( "5x^2-20x+6x-24=0\r \n" ); document.write( "\n" ); document.write( "5x(x-4)+6(x-4)=0\r \n" ); document.write( "\n" ); document.write( "(x-4)(5x+6)=0\r \n" ); document.write( "\n" ); document.write( "x=4 OR -6/5\r \n" ); document.write( "\n" ); document.write( "ignore fraction\r \n" ); document.write( "\n" ); document.write( "the numbers are 4 & 6\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |