
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f\left( x \right)=ax^{2}+bx+c (b > a)$, it is known that for any $x\in R$, $f\left( x \right)\geqslant 0$ always holds. Determine the minimum value of $\dfrac{a+b+c}{b-a}$.

Present the answer in LaTex format: \boxed{Your answer}
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