Answer:
802
Explanation:
Let x stand for one of the numbers.
"consecutive" means in a row. So consecutive odd numbers are like 1, 3, 5, 7, 9, 11, 13... SO you could just guess and check. Like, 20×20 is 400 so 19×21 is a good guess and it works, so ??? you could just run with it from here. Buuuut,
the math is
x is a number (hopefully, ODD)
x + 2 would be the next odd number.
x(x+2) = 399
x^2 + 2x = 399
x^2 + 2x - 399 = 0
(x - 19)(x + 21) = 0
x-19=0 and x+21=0
x=19 and x= -21
We'll use the 19. So the next odd number is 21. But don't stop there. Re-read the question...they mysteriously want the sum (adding) of the squares (2nd power)
19^2 + 21^2
= 361 + 441
= 802