Let z be a complex number satisfying the equation z2−(3+i)z+m+2i=0, where m∈R . Suppose the equation has a real root . Then find the normal root.

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Let z be a complex number satisfying the equation $z^{2} - (3 + i) z + m + 2 i = 0$ , where $m \in R$ . Suppose the equation has a real root . Then find the normal root.

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Camila Discussed

Let z be a complex number satisfying the equation

z^{2} - (3 + i) z + m + 2 i = 0

, where

m \in R

. Suppose the equation has a real root . Then find the normal root.

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Question Text

Let z be a complex number satisfying the equation

z^{2} - (3 + i) z + m + 2 i = 0

, where

m \in R

. Suppose the equation has a real root . Then find the normal root.