If `a x^2+b x+6=0` does not have distinct real roots, then find the least value of `3a+bdot`

Explanation

To solve the problem, we need to determine the condition under which the quadratic equation \( ax^2 + bx + 6 = 0 \) does not have distinct real roots. This occurs when the discriminant of the quadratic is less than or equal to zero.

### Step 1: Identify the discriminant
The discriminant \( D \) of the quadratic equation \( ax^2 + bx + c = 0 \) is given by:
\[ D = b^2 - 4ac \]
In our case, \( c = 6 \), so the discriminant becomes:
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