SOLUTION: I am having some problems with this problems The product of two consecutive postive even integers is 288. Find the integers Thank you

Question 94156: I am having some problems with this problems
The product of two consecutive postive even integers is 288. Find the integers
Thank you
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the first positive even integer, then x+2 is the next consecutive positive integer. The product of these two = 288. So we can set up the equation to solve for x:
Apply the distributive property to the left side.
Subtract 288 from both sides.
Factor the left side.
Apply the zero products principle.
or so...
x = 16 or x = -18 but you want the positive integer only, so...
x = 16 this is the first positive even integer.
x+2 = 18 This is the next consecutive positive even integer.
Check:
(16)(18) = 288
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