
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
If a quadratic equation in \\(x\\), \\(ax^{2}+bx+c=0\\), has two real roots, and one root is twice the other, then such an equation is called a "double root equation".  
\\((1)\\) Is the quadratic equation \\(x^{2}-3x+2=0\\) a double root equation? If so, please explain why.  
\\((2)\\) If the quadratic equation \\(ax^{2}+bx-6=0\\) is a double root equation, and one of the roots is \\(2\\), find the values of \\(a\\) and \\(b\\)?

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