The sum of the squares of two consecutive positive odd numbers is 650. Find the numbers.
+1224 integers are (x) and (x+2)
\(x^2 + (x+2)^2 = 650\)
\(2x^2 +4x + 4 = 650\)
\(x^2 + 2x - 323 = 0\)
\((x+19)(x-17) = 0\)
The integers are positive, so x = 17.
The numbers are 17 and 19.
