The sum of two numbers is 20. Find the minimum possible sum of their squares?
2 Answers
Explanation:
For
From this, you can see that closer values of
Minimum value of sum of squares of two numbers is
Explanation:
If sum of two numbers is
let one number be
Hence their sum of squares is
=
=
=
=
=
Observe that the sum of squares of two numbers is sum of two positive numbers, one of whom is a constant i.e.
and other
Hence minimum value of sum of squares of two numbers is