Answer (1)
rehan18alam Student Expert 15th Apr, 2020

Let

i = a + ib,

Square both sides,

I = (a+ib)^2.......3

i = a^2 + i^2b^2 + 2abi

i = a^2 - b^2 + 2abi,

Equating both sides real and imaginary value,

a^2 - b^2 = 0

a^2 = b^2.....1

2ab = 1

a = 1/2b......2

Sub 2 in 1,

You get, b=+-1/2, a=+-1/2,

From EQ 3,

i = +-1/2 + i+-1/2...ans

Thank you.



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