Find the number of common tangents to the circles `x^2+y^2=4` and `x^2+y^2-6x-8y=24`

Explanation

To find the number of common tangents to the circles given by the equations \(x^2 + y^2 = 4\) and \(x^2 + y^2 - 6x - 8y = 24\), we will follow these steps:

### Step 1: Rewrite the equations in standard form
The first circle is already in standard form:
\[ x^2 + y^2 = 4 \]
This can be expressed as:
...