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| Question 203748:  Product of two consecutive integers is 6 less than 6 times their sum.  Find the integers
 Answer by RAY100(1637)
      (Show Source): 
You can put this solution on YOUR website! Let  x  =  first  integer,,,,(x+1) = 2nd  integer .
 x(x+1) = 6 {x+(x+1)} -6
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 x^2 +x = 12x +6-6
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 x^2 -11x =0
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 x (x-11)=0
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 x=0,,11,,,,0,1,,,,,,11,12
 ,
 check
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 (x=11,12),,11*12 = 6(11+12) -6
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 132 = 6*23-6 = 138-6=132,,,,ok
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 (x=0,1),  0*1 = 6(1) -6,,,,0=0,,,,ok
 
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