SOLUTION: I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.      Log On


   



Question 243632: I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.
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i+=+sqrt%28-1%29
2+i is a complex number, and complex roots come in conjugate pairs, so the 3rd root is 2-i.
The equation is (x-2)*(x -2+i)*(x - 2-i) = 0
%28x-2%29%2A%28x%5E2+-+4x+%2B+5%29+=+0
x%5E3+-+6x%5E2+%2B+13x+-+10+=+0