Math, asked by praveenraj74, 11 months ago

if z^2=(0,1) find zā€‹

Answers

Answered by sprao534
7

Please see the attachment

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Answered by prachikalantri
1

Answer:

z=x+iy

z^2=x^2-y^2+2xyi

=(0,1)

\Rightarrow x^y-y^2=0\\\Rightarrow x^2 =y^2

\Rightarrow x=y

2xy=1\\2x^2=1\\x^2=\frac{1}{2}

x=\frac{1}{\sqrt{2} }

z=x+iy

=\frac{1}{\sqrt{2} }+ \frac{1}{\sqrt{2} }i

#SPJ3

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