Asked by Peter
Show that for any complex number z, |z| = |-z|. (Hint: Let z = a + bi.)
Answers
Answered by
Damon
if z = a + b i
z^2 = a^2 + 2 a b i + b^2 i^2
= a^2 + 2 a b i - b^2
if z = -a - bi
z^2 = a^2 + 2 a b i + b^2 i^2
= a^2 + 2 a b i -b^2
z^2 = a^2 + 2 a b i + b^2 i^2
= a^2 + 2 a b i - b^2
if z = -a - bi
z^2 = a^2 + 2 a b i + b^2 i^2
= a^2 + 2 a b i -b^2
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