SOLUTION: I need help with the following problem: The product of two consecutive positive even numbers is 624, what are the numbers? I cannot find this anywhere in my book. Thanks so

Question 476490: I need help with the following problem:
The product of two consecutive positive even numbers is 624, what are the numbers?
I cannot find this anywhere in my book. Thanks so much!
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the numbers be x & x+2
x(x+2)=624
x^2+2x =624
complete the square on the left side
x^2+2x+1= 624+1
(x+1)^2= 625
Take the square root
(x+1) = +/- 25
x= -1+25 OR -1-25
x= 24 OR -26
(24,26)
(-26,-24)
Since they are positive
the numbers are 24 & 26
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