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Let , real and z be a complex number. If {z}^{{2}}+{z}{}+={}{0

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Let $α, β$ be real and z be a complex number. If $z^{2} + α z + β = 0$ has two distinct roots on the line Re $z = 1$ , then it is necessary that :

b \in (0, 1)

b \in (- 1, 0)

∣ b ∣ = 1

b \in (1, \infty)

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Daniel Discussed

Let

α, β

be real and z be a complex number. If

z^{2} + α z + β = 0

has two distinct roots on the line Re

z = 1

, then it is necessary that :

14 mins ago

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Question Text	Let $α, β$ be real and z be a complex number. If $z^{2} + α z + β = 0$ has two distinct roots on the line Re $z = 1$ , then it is necessary that :
Answer Type	Video solution: 1
Upvotes	150