If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyclic, then `t^(3) + 17` is equal to __________.

Explanation

To solve the problem, we need to find the value of \( t^3 + 17 \) given that the points \( (2, 3) \), \( (0, 2) \), \( (4, 5) \), and \( (0, t) \) are concyclic.

### Step-by-step Solution:

1. **Understanding Concyclic Points**:
Points are concyclic if they lie on the same circle. This means that for any three points, the fourth point must satisfy the circle's equation derived from the first three points.

2. **Equation of the Circle**:
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