Posted by **Stranger** on Monday, March 18, 2013 at 3:22am.

The function

f(x)=x^4−10x^3+40x^2−80x+64

has four complex roots, one of which is 2−2i. What is the sum of all real and imaginary coefficients of these roots?

i here is imaginary unit i.e. i^2 = -1

- Algebra -
**guess**, Monday, March 18, 2013 at 1:02pm
It's a simple question and i hope that you should try a bit to solve it

although the answer is 10

it's a brilliant question ??

- Algebra -
**okk**, Tuesday, March 19, 2013 at 12:24am
I got it its roots are 4 , 2, 2-2i, 2+2i

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