### 2 Answers

Relevance

- rotchmLv 72 months ago
The correct answer is:

The question is ill posed, and has infinitely many solutions.

For instance, let p(x)= 5x² + 6x + 2. Thus, p(1/(2-i)) = 5+2i.

And p(-8/5 + i/5) = 5-2i.

Thus here, c=-8/5 & d=1/5.

If p(x) were a deg 1 poly " mx+b", then the solution for c&d is unique and was given to you by another respondent.

- nyphdinmdLv 72 months ago
1/(2 - i) = (2+i)/{(2-i)*(2+i)} = (2 +i)/5 = 2/5 + i/5

P(2/5 + i/5) = 5 + 2i and the coeficients are real then

P(2/5 + i/5) = k*2/5 + m*i/5 = 5 + 2i ---> k = 25/2, m = 10

then (c + di) = k*c +m*d i = 5 - 2i --> 25*c/2 = 5 10*d = -2

d = -1/5 c = 2/5

c + i d = 2/5 - 2 i

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