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Consider the equation z^(2)-(3+i)z+(m+2...

Consider the equation `z^(2)-(3+i)z+(m+2i)=0(mepsilonR)`. If the equation has exactly one real and one-non-real complex root, then which of the following hold(s) good:

A

Modulus of the non-real complex root is 2

B

the value of `m` is 3

C

Additive inverse of non-real root is `(-1-i)`

D

Product of real root and imaginary part of non -real complex root is 2

Text Solution

Verified by Experts

The correct Answer is:
C, D
cd
If `alpha` is real root then `alpha=2, m=+-2`, non real root `=1+i`
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