document.write( "Question 1152394: The reciprocal of the product of two consecutive integers is StartFraction 1 Over 210 EndFraction
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Algebra.Com's Answer #774403 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "The reciprocal of the product of two consecutive integers is $\"highlight%28cross%28StartFraction%29%29\"$ 1 Over 210 $\"highlight%28cross%28EndFraction%29%29\"$ . Find the integers.
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document.write( "The simplest way to find the integers is to note that the product of two consecutive integers is 210\r\n" );
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document.write( "and then to guess (using TRIAL and ERROR method) that the numbers are 14 and 15.\r\n" );
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document.write( "This way provides the solution in 9 seconds.\r\n" );
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document.write( "If you need algebra solution, start from the equation\r\n" );
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document.write( "    n*(n+1) = 210\r\n" );
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document.write( "and solve it EITHER using factoring OR the quadratic formula.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Another useful recommendation on how to find these integers quickly is to notice that $\"sqrt%28210%29\"$ = 14.49.\r
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\n" ); document.write( "\n" ); document.write( "Then the seeking numbers are closest integers from both sides of this value . . . \r
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\n" ); document.write( "\n" ); document.write( "How your post is presented, it requires titanic efforts to decipher it . . . \r
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