If-z-3-z-prove-then-z-1-

Question Number 32002 by rahul 19 last updated on 18/Mar/18

I f z^{3} = \bar{z} p r o v e

t h e n ∣ z ∣= 1 .

Answered by Tinkutara last updated on 18/Mar/18

z^{3} = \bar{z}

∣ z^{3} ∣=∣ \bar{z} ∣

∣ z ∣^{3} =∣ z ∣

∣ z ∣^{2} = 1

∣ z ∣= 1

Commented by Tinkutara last updated on 18/Mar/18

∣ z ∣ i s a l w a y s ⩾ 0 .

I f z = x + i y

t h e n ∣ z ∣= \sqrt{x^{2} + y^{2}}, w h e r e b o t h x, y \in R

a n d s q u a r e r o o t o f r e a l n u m b e r i s

t a k e n a s r e a l n u m b e r o n l y .

Commented by rahul 19 last updated on 18/Mar/18

t h a n k u!