document.write( "Question 1203672: The product of three consecutive integers is twenty-six thousand nine hundred seventy.
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Algebra.Com's Answer #839426 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "You'd probably start with x being the smallest integer:\r\n" );
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document.write( "I'd start with x being the middle one of the three: \r\n" );
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document.write( "because it would be easy to multiply out (x-1)(x+1)\r\n" );
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document.write( "But heck! x is bound to be near the cube root of 26970,\r\n" );
document.write( "So pick up a calculator that can take cube roots:\r\n" );
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document.write( "That's close to 30, so try 30 as the middle one\r\n" );
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document.write( "Try 29,30,31  \r\n" );
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document.write( "  <--That's it!\r\n" );
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document.write( "That's a quick way to get the answer, and since factoring \r\n" );
document.write( "and solving a cubic equation requires trial and error with \r\n" );
document.write( "synthetic division anyway, I'd say the above way is the \r\n" );
document.write( "best way to do it.  Other tutors might disagree.\r\n" );
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document.write( "Answer: 29,30,31\r\n" );
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document.write( "Edwin

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