The equation of curve referred to the new axes, axes retaining their directions, and origin `(4,5)` is `X^2+Y^2=36` . Find the equation referred to the original axes.

Explanation

To find the equation of the curve referred to the original axes, we start with the given equation in the new axes, which is \(X^2 + Y^2 = 36\). The new axes have their origin at the point \((4, 5)\).

### Step-by-Step Solution:

1. **Understand the Transformation**:
The new coordinates \(X\) and \(Y\) are related to the original coordinates \(x\) and \(y\) by the equations:
\[
X = x - 4
...