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

## Answer this Question

## Related Questions

- math - A. Four times one odd integer is 14 less than three times the next even ...
- Math Algebra - Two times the smallest of three consecutive odd integers is one ...
- Algebra - There are three consecutive integers the square of the largest one ...
- math - 1. The largest of five consecutive integers is twice the smallest. Find ...
- equation - the smallest 3 consecutive integers is added to twice the largest , ...
- algebra - Five times the smallest of three consecutive odd integers is ten more ...
- math/algebra - Determine three consecutive odd integers such that three times ...
- Math - find three consecutive positive odd integers such that the sum of the ...
- Math - The product of three consecutive odd integers reduced by 23 is 99 less ...
- math - there are three consecutive positive integers such that the sum of the ...