Posted by **Karen** on Tuesday, January 29, 2013 at 5:14pm.

The sum of the squares of the largest and smallest of three consecutive odd integers is 353 less than 3 times the square of the middle one. Find the integers.

- Algebra -
**Reiny**, Tuesday, January 29, 2013 at 5:44pm
three consecutive odds:

x-2 , x, x+2

(x-2)^2 + (x+2)^ = 3x^2 - 353

x^2 - 4x + 4 + x^2 + 4x + 4 = 3x^2 - 353

x^2 = 361

x = ±√361

x = ± 19

So the integers are:

17, 19, and 21

or

-17, -19, -21

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