When trying to bound this complex number using [itex] |z| = R [/itex], I turned the 'modulus of the square' into the 'square of the modulus', is this allowed?!(adsbygoogle = window.adsbygoogle || []).push({});

[itex] |(z + i)^2| [/itex]

[itex] = (|z+i|)^2 [/itex] 'modulus of the square' into the 'square of the modulus'

[itex] \geq (|z| - |i| )^2 [/itex] triangle inequality variation

[itex] = (|z| - 1)^2 [/itex]

[itex] = (R - 1)^2 [/itex]

Help would be appreciated!

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# I this mathematically 'legal'?

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