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A Constrained Minimum

Difficulty: Medium · Topics: Algebra, Inequalities, Optimisation

Shartli eng kichik qiymat

Positive numbers a and b satisfy a+b=4. Find the minimum value of

16≤ft(1+frac1a^2 )≤ft(1+frac1b^2 ).

Musbat a va b sonlar a+b=4 ni qanoatlantiradi. Quyidagi ifodaning eng kichik qiymatini toping:

16≤ft(1+frac1a^2 )≤ft(1+frac1b^2 ).