SOLUTION: Find three consecutive positive even integers such that the sum of their squares is 980.

Question 181922: Find three consecutive positive even integers such that the sum of their squares is 980.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find three consecutive positive even integers such that the sum of their squares is 980.
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There are 2 ways to do this.
The easy way:
Since the numbers are close, each is about 1/3 of the total.
980/3 =~ 326. The square root of 326 is just over 18 (18^2 = 324).
So 18 is the middle number, and they're 16, 18 and 20.
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The hard way:

(3x+60)*(x-16) = 0
x = 16, x = -20
It says positive, so it's 16, 18 & 20

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