Sagot :
Answer:
there are two ways I know of to go about this:
1) x + y = 20
x2 + y2 < 362
x2 + (20 - x)2 < 362
x2 + 400 - 40x + x2 < 362
2x2 - 40x < -38
x2 - 20 x < -19
complete the square
(x - 10)2 < -19 + 100
(x - 10)2 < 81
x - 10 < 9
x < 19
Any of these will work:
2, 18
3, 17
4, 16
5, 15
6, 14
7, 13
8, 12
9, 11
10. 10
2) Trial and Error
1 and 19 adds to 20. The sum of their squares is exactly 362 which is too much.
All other combinations of positive integers would work.
Explanation: