document.write( "Question 1204189: The product of the first and third of three negative consecutive integers is 59 more than 4 times the second integer. Find the integers.
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Algebra.Com's Answer #840276 by Edwin McCravy(20054)\"\" \"About 
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document.write( "Let the middle integer be x, then the first one is x-1 and the third one is x+1.\r\n" );
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document.write( "x-1 = smallest\r\n" );
document.write( "x = middle\r\n" );
document.write( "x+1 = largest\r\n" );
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document.write( "The product of the first and third of three negative consecutive integers \r\n" );
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document.write( "That's (x-1)(x+1)\r\n" );
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document.write( "is 59 more than 4 times the second integer. Find the integers.\r\n" );
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document.write( "That's 4x + 59\r\n" );
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document.write( "(x-1)(x+1) = 4x + 59\r\n" );
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document.write( "x2 - 1 = 4x + 59\r\n" );
document.write( "x2 - 4x - 60 = 0\r\n" );
document.write( "(x + 6)(x - 10) = 0\r\n" );
document.write( "x + 6 = 0;  x - 10 = 0\r\n" );
document.write( "    x = -6;      x = 10\r\n" );
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document.write( "We are told that the integers are negative, so we discard x=10\r\n" );
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document.write( "x-1 = smallest = -6-1 = -7\r\n" );
document.write( "x = middle     = -6  \r\n" );
document.write( "x+1 = largest  = -6+1 = -5\r\n" );
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document.write( "Checking the words:\r\n" );
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document.write( "The product of the first and third...\r\n" );
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document.write( "(-7)(-5) = 35\r\n" );
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document.write( "...is 59 more than 4 times the second integer. \r\n" );
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document.write( "That's 59 more than 4 times -6, which is -24.  Sure enough,'\r\n" );
document.write( "it's true that (-24) + 59 = 35.\r\n" );
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document.write( "Edwin

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