Find two consecutive odd integers such that sum of their squares is 394.

Let the required two consecutive odd integers be x , x + 2 Given, sum of squares of two consecutive odd integers = 394 ∴ When x = -15 , x + 2 = -13 and when x = 13 , x + 2 = 15. Hence required integers are -15 , -13 or 13, 15 .