GAOKAO · Inequalities · Standard

Inequalities: Find the minimum value of math for math.

AM-GM, quadratic inequalities.

Try the problem

Find the minimum value of x+1xx+\dfrac1x for x>0x>0.

Hint and answer

Concept to use

AM-GM two variables.

Hint

Apply AM-GM; equality occurs at x=1x=1.

Answer

2

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