Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 5.8 AIME, harder Find the answer

3. Find the maximum or minimum value of the function $y=2-\frac{5}{\sqrt{x^{2}-2 x+6}}$ .

Translate the text above into English, please keep the original text's line breaks and format, and output the translation result directly.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

(Answer: y vertebral $=2-$
$\sqrt{5} \text { ) }$

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