document.write( "Question 858210: Find 3 odd consecutive intergers such that the product of the first and third minus the middle intergers is 338. \n" ); document.write( "
Algebra.Com's Answer #517123 by ramkikk66(644)\"\" \"About 
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document.write( "Find 3 odd consecutive integers such that the product of the first and third minus the middle integer is 338.\r\n" );
document.write( "Ans:\r\n" );
document.write( "Let the 3 odd integers be n-2,n and n+2\r\n" );
document.write( "Product of 1st and 3rd = \"%28n+-+2%29%2A%28n+%2B+2%29+=+n%5E2+-+4\"\r\n" );
document.write( "Subtracting middle integer\r\n" );
document.write( "\"n%5E2+-+4+-+n+=+338\"\r\n" );
document.write( "Or\r\n" );
document.write( "\"n%5E2+-n+-+342+=+0\"\r\n" );
document.write( "This is a simple quadratic equation which can be solved by factorizing.\r\n" );
document.write( "\"n%5E2+%2B+18%2An+-+19%2An+-+342+=+0\"\r\n" );
document.write( "\"%28n+%2B+18%29+%2A+%28n+-+19%29+=+0\"\r\n" );
document.write( "So possible solutions for n are \"n+=+-18\" or \"n+=+19\"\r\n" );
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document.write( "Correspondingly, the 3 numbers are (-20,-18,-16) or (17,19,21)\r\n" );
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document.write( "Since is is not mentioned that the integers are positive, both solutions are valid.\r\n" );
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document.write( "Check: \"%28-20%29%2A%28-16%29+-+%28-18%29+=+320+%2B+18+=+338\"\r\n" );
document.write( "\"17%2A21+-+19+=+357+-+19+=+338\"\r\n" );
document.write( "Both are correct!\r\n" );
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document.write( ":)\r\n" );
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