SOLUTION: the sum of the squares of two positive consecutive even integers is 100. Find the integers.
Algebra.Com
Question 255742: the sum of the squares of two positive consecutive even integers is 100. Find the integers.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let X = even integer and x+2 is the next even integer.
(i)
step 1 - expand (i) to get
(ii)
step 2 - combine like terms to get
(iii)
step 3 set = 0 and solve by factoring to get
(iv)
(2x+16) = 0 - - > x = -8
(x-6) = 0 - - - -> x = 6
since they are positive, we get x = 6 and x+2 = 8.
RELATED QUESTIONS
the sum of the squares of two consecutive positive even integers is 340. find the... (answered by HyperBrain)
the sum of the squares of two consecutive positive even integers is 340. find the... (answered by bucky)
The sum of the squares of two consecutive even positive integers is 340.Find the... (answered by checkley77)
the sum of the squares of two consecutive positive even integers is 340. Find the... (answered by harpazo)
The sum of the squares of two consecutive positive integers is 100. Find the two... (answered by richard1234)
The sum of the squares of two consecutive even integers is 100. Find the two... (answered by checkley71)
The sum of the squares of two consecutive even integers is 100. Find the integers
(answered by drk,unlockmath)
The sum of the squares of two consecutive positive even integers is one hundred... (answered by ewatrrr)
the sum of the squares of two consecutive positive even integers is 164. find the two... (answered by TimothyLamb)