Find the value of `a` for which `a x^2+(a-3)x+1 < 0` for at least one positive real `x`.

Explanation

To find the value of \( a \) for which the quadratic inequality \( ax^2 + (a-3)x + 1 < 0 \) holds for at least one positive real \( x \), we will analyze the quadratic function step by step.

### Step 1: Identify the Quadratic Function
We start with the quadratic function:
\[ f(x) = ax^2 + (a-3)x + 1 \]
We need to determine when \( f(x) < 0 \) for at least one positive \( x \).
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