A Product Under a Budget

7/10SubstitutioninequalityDiscriminant

Problem

Let a,b>0a, b > 0 with

a+2a+3b+4b=10.a + \frac{2}{a} + 3b + \frac{4}{b} = 10.

Find the range of possible values of abab.

Answer

Solution

Difficulty7/10
TopicsSubstitution, inequality, Discriminant

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