document.write( "Question 1160493: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve. \n" ); document.write( "
Algebra.Com's Answer #783777 by ikleyn(52879)\"\" \"About 
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document.write( "\"1%2Fn\" + \"1%2F%28n%2B2%29\" = \"5%2F12\",\r\n" );
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document.write( "and we look for even integer n.\r\n" );
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document.write( "You can reduce to quadratic equation and solve it formally.\r\n" );
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document.write( "Or you can easily guess the solution n = 4.     <<<---=== ANSWER\r\n" );
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document.write( "CHECK.  \"1%2F4\" + \"1%2F6\" = \"3%2F12\" + \"2%2F12\" = \"5%2F12\".   ! Precisely correct !\r\n" );
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