solve this---**Extracted Content:**
**Question 1:**
* **Question Stem:** 一动圆与圆 $x^2+y^2+6x+5=0$ 外切,同时与圆 $x^2+y^2-6x-91=0$ 内切,则动圆圆心 $M$ 的轨迹方程是____.
* **Mathematical Formulas:**
* Circle 1: $x^2+y^2+6x+5=0$
* Circle 2: $x^2+y^2-6x-91=0$
* **Key Terms:**
* 动圆 (moving circle)
* 外切 (externally tangent)
* 内切 (internally tangent)
* 动圆圆心 $M$ (center M of the moving circle)
* 轨迹方程 (locus equation)
* **Options:** No options are provided in the image; it is a fill-in-the-blank question.
* **Chart/Diagram:** No chart or diagram is present in the image.