SOLUTION: The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 time the square of the smaller one. Find the even number

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Question 994563: The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 time the square of the smaller one. Find the even number
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
n is any integer.
The integers you want start as .

The transcribed description is .
Solve for n, and evaluate your consecutive even integers.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 time the square of the smaller one. Find the even number
Let smallest integer be S

Then others are: S + 2, and S + 4

We then get: 









 ------- Factoring out GCF, 2



(S - 8)(S + 2) = 0

S, or smallest integer =                OR                



You should be able to find the others. 

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