SOLUTION: 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 wo

Algebra ->  Square-cubic-other-roots -> SOLUTION: 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 wo      Log On


   



Question 939759: 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.
If the product of two consecutive positive even integers is equal to 168, then what are the integers.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the first even integer be x
then the next even integer will be x+2
The product is 168
x(x+2)=168
x^2+2x=168
add 1 to both sides
x^2+2x +1 = 168+1
(x+1)^2= 169
take the square root
x+1 = +/- 13
x= 13-1=12
Or -13-1=-14
But the number is positive
12 & 14 are the numbers