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# If $z=2-3i$ then the value of $z^2-4z+14$ = ?

(A) 0 (B) 1 (C) 2 (D) -1
Can you answer this question?

Given: $z=2-3i$
$\Rightarrow\:z-2=-3i$
Squaring on both the sides
$z^2-4z+4=-9$
$\Rightarrow\:z^2-4z+13=0$
$\therefore z^2-4z+14=0+1=1$
answered Jul 24, 2013