Find real value of `xa n dy` for which the complex numbers `-3+i x^2ya n dx^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 need to follow these steps:

### Step 1: Set up the equation for conjugates
The complex numbers are conjugates if:
\[ -3 + i x^2 y = -3 - i (x^2 + y + 4) \]
This means that the imaginary parts must be equal and the real parts must be equal.
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