Question

find two positive integers whose sum is 16 and the sum of whose squares in minimum​

Answer 1

Answer:

Consider the number as x and 16 – x

We know that S = x2 + (16 – x)2

It can be written as S = x2 + 256 – 32x + x2 = 2x2 – 32x + 256

Here x = 8 is the point of minimum

so, 8, 8 are the required numbers

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Answer 2