Question 942051: For the problem given below, set up an equation and solve. Show all work (including what your variables represent), detailing each step, to ensure that I am able to follow your work. Clearly state your solution. Please and thank you
If the product of two consecutive positive even integers is equal to 168, then what are the integers?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! If the product of two consecutive positive even integers is equal to 168,
then what are the integers?
:
let two consecutive even integers be: x, (x+2)
:
the product = 168
x(x+2) = 168
:
distribute, subtract 168 from both sides
x^2 + 2x - 168 = 0
Factors to
(x+14)(x-12) = 0
The positive solution
x = 12 is the 1st integer, then 14 is the second
:
:
Check 12 * 14 = 168
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