Find real values of `x` and `y` for which the complex numbers `-3+i x^2y` and `x^2+y+4i` are conjugate of each other.

Explanation

To find the real values of \( x \) and \( y \) for which the complex numbers \( -3 + i x^2 y \) and \( x^2 + y + 4i \) are conjugates of each other, we can follow these steps:

### Step 1: Set up the equations
Given two complex numbers:
1. \( z_1 = -3 + i x^2 y \)
2. \( z_2 = x^2 + y + 4i \)

Since \( z_1 \) and \( z_2 \) are conjugates, we have:
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