# Inequal or Equal?

Algebra Level 2

Let $\color{#D61F06}{a}$ and $\color{#3D99F6}{b}$ be real numbers such that $\color{#D61F06}{a}>\color{#3D99F6}{b}>0$. Determine the least possible value of

$\large \color{#D61F06}{a} + \dfrac{1} {\color{#3D99F6}{b}(\color{#D61F06}{a}-\color{#3D99F6}{b})}.$

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