SOLUTION: Find three consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 20.
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-> SOLUTION: Find three consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 20.
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Question 671702: Find three consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 20. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let the integers be n,n+2,n+4
n^2+(n+2)^2=(n+4)^2+20
n^2+n^2+4n+4 =n^2+8n+16+20
2n^2+4n+4=n^2+8n+36
Rearrange
2n^2-n^2+4n-8n+4-36=0
n^2-4n-32=0
n^2-8n+4n-32=0
n(n-8)+4(n-8)=0
(n-8)(n+4)=0
n=8 OR -4
Ignore negative
the integers are 8 ,10,12
