SOLUTION: one integer is 5 less than 2 times another and their product is 12. what are the two integers?

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Question 418527: one integer is 5 less than 2 times another and their product is 12. what are the two integers?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

one integer is 5 less than 2 times another 

Let x and (2x-5) represent the integers

Question states***

   x(2x-5)=12

  2x^2-5x-12 = 0

factoring

 (2x+3)(x-4)=0 |Note:SUM of the inner product(3x) and the outer product(-8x) = -5x

 (2x+3) = 0   Tossing out fractional answer

 (x-4)=0  x = 4  the Integers are 4 and 3



CHECKING our Answer***

  3*4 = 12