document.write( "Question 744611: two positive integers have a sum of 14 and a product of 24. what are the integers? \n" ); document.write( "

Algebra.Com's Answer #852544 by ikleyn(52969) $\"\"$ $\"About$

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\n" ); document.write( "two positive integers have a sum of 14 and a product of 24. what are the integers?
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document.write( "Short way is to guess the numbers mentally: they are 2 and 12.\r\n" );
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document.write( "This way requires from 2 to 5 seconds, maximum, without any writing.\r\n" );
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document.write( "The long way is to solve using equation/equations.\r\n" );
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document.write( "Let x be one of the two numbers. Then the other number is 14-x.\r\n" );
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document.write( "Their product is 14 - so, we write this equation\r\n" );
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document.write( "    x*(14-x) = 24,\r\n" );
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document.write( "    14x - x^2 = 24,\r\n" );
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document.write( "    x^2 - 14x + 24 = 0,\r\n" );
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document.write( "     (x-2)*(x-12) = 0,\r\n" );
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document.write( "and we see that the solutions are x=2 or x= 12.\r\n" );
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document.write( "They are the same as we found mentally above.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The answer by @lynnlo is incorrect, so ignore his/her post.\r
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