document.write( "Question 1155188: Find three consecutive integers whose product is 161 larger than the cube of the smallest integer \n" ); document.write( "
Algebra.Com's Answer #777776 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Find three consecutive integers whose product is 161 larger than the cube of the smallest integer
\n" ); document.write( "
Let the first integer be F
\n" ); document.write( "Then other 2 are: F + 1, and F + 2
\n" ); document.write( "We then get: \"matrix%281%2C3%2C+F%28F+%2B+1%29%28F+%2B+2%29%2C+%22=%22%2C+F%5E3+%2B+161%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+F%28F%5E2+%2B+3F+%2B+2%29%2C+%22=%22%2C+F%5E3+%2B+161%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+3F%5E2+%2B+2F+-+161%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+3F%5E2+%2B+23F+-+21F+-+161%2C+%22=%22%2C+0%29\" ----- Substituting 23F - 21F for 2F
\n" ); document.write( "F(3F + 23) - 7(3F + 23) = 0
\n" ); document.write( "F - 7 = 0 OR 3F + 23 = 0
\n" ); document.write( " OR 3F = - 23 (ignore) \n" ); document.write( "
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