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Let {z}_{{{1}}} and {z}_{{{2}}} be complex numbers such that {

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Let $z_{1}$ and $z_{2}$ be complex numbers such that $z_{1}^{2} - 4 z_{2} = 16 + 20 i$ and the roots $α$ and $β$ of $x^{2} + z_{1} x + z_{2} + m = 0$ for some complex number $m$ satisfies $∣ α - β ∣ = 27$ .
The locus of the complex number $m$ is a curve

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Theodore Discussed

Let

z_{1}

and

z_{2}

be complex numbers such that

z_{1}^{2} - 4 z_{2} = 16 + 20 i

and the roots

α

and

β

x^{2} + z_{1} x + z_{2} + m = 0

for some complex number

m

satisfies

∣ α - β ∣ = 27

.
The locus of the complex number

m

is a curve

13 mins ago

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