Best Answer

Brute force and maximal ignorance mode:

0+14=14 0²+14²=196

1+13=14 1²+13²=170

2+12=14 2²+12²=148

3+11=14 3²+11²=130

4+10=14 4²+10²=116

5+9=14 5²+9²=106

6+8=14 6²+8²=100

7+7=14 7²+7²=98

8+6=14 8²+6²=100

9+5=14 9²+5²=106

10+4=14 10²+4²=116

11+3=14 11²+3²=130

12+2=14 12²+2²=148

13+1=14 13²+1²=170

14+0=14 14²+0²=196

Thus, the minimum is at both numbers being 7.

Q: Find two positive numbers whose sum is 14 and the sumof whose square is minimum?

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