Suppose that z = 3 – i is a root of the equation - ax" + bx + cx + d = 0, a,b, c, d E R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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[Complex Variables] How do you solve this? This is a multiple choice question

Suppose that z = 3 – i is a root of the equation
ax" + bx* + cx +d = 0, a,b, c, d e R
then
(a) It has another root z = 3+ i.
(b) it might have no roots in R.
(c) it has in total 7 roots in C, some of them might be identical.
(d) it has in total 7 roots in C, none of them could be identical.
Transcribed Image Text:Suppose that z = 3 – i is a root of the equation ax" + bx* + cx +d = 0, a,b, c, d e R then (a) It has another root z = 3+ i. (b) it might have no roots in R. (c) it has in total 7 roots in C, some of them might be identical. (d) it has in total 7 roots in C, none of them could be identical.
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