document.write( "Question 304321: Find two consecutive even intergers such that the sum of their recipricols is 9/40.\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #217978 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 1/x+1/(x+2)=9/40 \n" ); document.write( "(x+2+x)/x(x+2)=9/40 \n" ); document.write( "(2x+2)/(x^2+2x)=9/40 cross multiply \n" ); document.write( "9(x^2+2x)=40(2x+2) \n" ); document.write( "9x^2+18x=80x+80 \n" ); document.write( "9x^2+18x-80x-80=0 \n" ); document.write( "9x^2-62x-80=0 \n" ); document.write( "(9x+10)(x-8)=0 \n" ); document.write( "9x-10=0 \n" ); document.write( "9x=-10 \n" ); document.write( "x=-10/9 \n" ); document.write( "x=-1.111 ans. \n" ); document.write( "x-8=0 \n" ); document.write( "x=8 ans. \n" ); document.write( " \n" ); document.write( " |