If \( z=(2-3 i) \), prove that \( z^{2}-4 z+13=0 \) and hence deduce that \( 4 z^{3}-3 z^{2}+169...

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If \( z=(2-3 i) \), prove that \( z^{2}-4 z+13=0 \) and hence deduce that \( 4 z^{3}-3 z^{2}+169=0 \)
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