Question

Find a number x such that the sum of that number and its square is the least.
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Answer 1

Answer:

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Answer 2

Answer:

Let the number be xx. Then you want to find xx such that x+x2x+x2 is minimum.

Note that you can write x+x2x+x2 as (x+12)2−14(x+12)2−14.

Can you finish it from here, by noting that a square term is always non-negative?

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