Find the real values of \( x \) and \( y \) for which the complex numbers \( \left(-3+i y x^{2}\...

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Find the real values of \( x \) and \( y \) for which the complex numbers \( \left(-3+i y x^{2}\right) \) and \( \left(x^{2}+y+4 i\right) \) are conjugates of each other.
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