SOLUTION: the product of the two larger of the three consecutive integers is 30. find the integer

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Question 823525: the product of the two larger of the three consecutive integers is 30. find the integer
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

the product of the two larger of the three consecutive integers is 30. 

find the integer

three consecutive integers: 

highlight_green%28x%29

highlight_green%28x%2B1%29 

highlight_green%28x%2B2%29

Question states***

  (x+1)(x+2) = 30 

    x^2 + 3x +2 = 30

    x^2 + 3x -28 = 0

   (x+7)(x-4) = 0,  x is -7,4

the three consecutive integers are:

 -7, -6, -5

0r

  4, 5 , 6

CHECKING our answer***

 (-6)(-5) = 30

 (5)(6) = 30