Find two positive numbers whose sum is 15 so that the sum of their squares is minimum.

The sum of two positive numbers is 48. The numbers so that the sum of their squares is a minimum are

The sum of two positive numbers is 12. The numbers so that the sum of the squares is minimum are

Find two positive integers whose sum is 16 and the sum of squares is minimum.

The product of two positive numbers is K. If the sum of their squares is minimum, then the numbers are sqrtk,sqrtk .

If the sum of two positive numbers is 48 then find the two numbers whose sum of the squares is minimum.

Find two numbers whose sum is 10 and product is 24.

Prove that there is unique pair of consecutive positive odd integers such that the sum of their squares is 290 and find it.