document.write( "Question 981967: You have 9 logs to form a triangle. The bottom row is 4, then 3 then 2 = 9 logs.
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Algebra.Com's Answer #602856 by Edwin McCravy(20063) $\"\"$ $\"About$

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document.write( "The other tutor doesn't have a clue as to what you want.\r\n" );
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document.write( "Starting at the top row with 2 logs, then three logs, etc., it's\r\n" );
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document.write( ", , \r\n" );
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document.write( "Multiply both sides by 2 to clear the fraction:\r\n" );
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document.write( "4030 = n(3+n)\r\n" );
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document.write( "4030 = 3n+n²\r\n" );
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document.write( "0 = n²+3n-4030\r\n" );
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document.write( "To factor that we have to find two integers that\r\n" );
document.write( "multiply to give 4030 and have a difference of 3.\r\n" );
document.write( "That's such a small difference in comparison to 4030\r\n" );
document.write( "they would have to both be near the square root of \r\n" );
document.write( "4030 which is about 63.5.  63 doesn't go evenly into \r\n" );
document.write( "4030, but 62 does. so 62×65=4030 so it factors this\r\n" );
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document.write( "0 = (n-62)(n+65)\r\n" );
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document.write( "n-62 = 0   n+65 = 0\r\n" );
document.write( "   n = 62     n = -65   <-- ignore since negative\r\n" );
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document.write( "So there are 62 rows of logs.  The bottom row of logs\r\n" );
document.write( "has as many logs as the 62nd term. \r\n" );
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document.write( "Now we find what the 62nd term is\r\n" );
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document.write( " logs.\r\n" );
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document.write( "Edwin

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