
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
Based on the corresponding values in the table below:

| $x$   | $1$   | $1.1$ | $1.2$ | $1.3$ |
|-------|-------|-------|-------|-------|
| $x^{2}+12x-15$ | $-2$ | $-0.59$ | $0.84$ | $2.29$ |

Determine the interval that the root of the equation $x^{2}+12x-15=0$ must satisfy.

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