SOLUTION: Find three consecutive positive integers such that the square of the greatest integer is equal to the sum of the squares of the other two integer.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive positive integers such that the square of the greatest integer is equal to the sum of the squares of the other two integer.      Log On


   

Question 960069: Find three consecutive positive integers such that the square of the greatest integer is equal to the sum of the squares of the other two integer.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive positive integers: (x-1), x, (x+1)

(x+1)^2 = (x-1)^2 + x^2
x^2 + 2x + 1 = 2x^2 - 2x + 1
0 = x^2 - 4x
0 = x(x - 4)

the integers have to be positive ---> x = 4

The integers are 3, 4, and 5.