Question 269817: solve by quadratic equation. Find 3 positive consecutive integers such that the sum of their squares is 245 Found 2 solutions by drk, Alan3354:Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! Let x, x+1 and x + 2 be 3 positive consecutive integers.
we get
(i)
expanding, we get
(ii)
combine like terms to get
(iii)
set = 0 to get
(iv)
factoring, we get
(v)
and solving for x, we get
x = -10
or
x = 8.
The three numbers are 8, 9, and 10.
(
