Posted by Karen on .
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,
three consecutive odds:
x2 , x, x+2
(x2)^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 
Algebra 
katie,
Find three consecutive integers such that the product of the two largest is 29 more than the square of the smallest integer. (Enter your answers as a commaseparated list.)