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Question Number 51571 by Tawa1 last updated on 28/Dec/18

If α - j β = \frac{1}{a - jb}, where α, β, a, b are real, express b in terms

of α, β Answer : \frac{- β}{α^{2} + β^{2} - 2 α + 1}

Answered by tanmay.chaudhury50@gmail.com last updated on 28/Dec/18

a - i b = \frac{1}{α - i β}

a - i b = \frac{α + i β}{α^{2} + β^{2}} = (\frac{α}{α^{2} + β^{2}}) + i (\frac{β}{α^{2} + β^{2}})

b = - (\frac{β}{α^{2} + β^{2}})

i t h i n k s o \dots

Commented by Tawa1 last updated on 28/Dec/18

God bless you sir .

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