Determine the points on the curve `x^2=4y` which are nearest to the point (0,5).

Explanation

To solve the problem of finding the points on the curve \( x^2 = 4y \) that are nearest to the point \( (0, 5) \), we can follow these steps:

### Step 1: Understand the Distance Formula
We need to find the distance between a point \( (x, y) \) on the curve and the point \( (0, 5) \). The distance \( d \) can be calculated using the distance formula:
\[ d = \sqrt{(x - 0)^2 + (y - 5)^2} \]
To simplify our calculations, we will minimize the square of the distance \( d^2 \):
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