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If z=2-3i, show that z^(2)-4z+13=0...

If `z=2-3i`, show that `z^(2)-4z+13=0`

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`:.z=2-3i`
`rArr z-2-3i`
`rArr (z-2)^(2)=(-3i)^(2)`
`rArr z^(2)-4z+4=9i^(2)`
`rArr z^(2)-4z+4=9(-1)`
`rArr z^(2)-4z+13=0`
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