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Let z1 and z2 be complex numbers such th...

Let `z_1 and z_2` be complex numbers such that `z_(1)^(2) - 4z_(2) = 16+20i` and the roots `alpha and beta` of `x^2 + z_(1) x +z_(2) + m=0` for some complex number m satisfies `|alpha- beta|=2 sqrt(7)`.
The minimum value of `|m|` is

A

`7-sqrt41`

B

`7-sqrt43`

C

`5-sqrt23`

D

`5+sqrt21`

Text Solution

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The correct Answer is:
A
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