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 follow these steps:

### Step 1: Set the complex numbers equal to each other
Since the complex numbers are conjugates, we can equate their real and imaginary parts. Thus, we have:
\[ -3 + i x^2 y = x^2 + y + 4i \]

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