Question

How to muiltiply (x-1/2(1-sqrt5i))(x-1/2(1+sqrt5i))

Answer 1

(1-sqrt5i)(1+sqrt5i) = 1 -5i^2 = 1+5 = 6 (remember i^2 = -1)

--> (x-1)^2 / 24

Answer 2

What did you do with 1/2 , maybe i should say the problem use the given zero to find all the zeros of the function they give me 1/2(1-sqrt 5i) meaning i also have 1/2(1+sqrt5i) cause there pairs when i put them as factors i put X- in front of them and muiltiply to get somehting to divide the original function by

Answer 3

oh i read it wrong
its (x-(1/2)(1-sqrt5i) ??

Answer 4

Yes and then +sqrt5i

Answer 5

ok you are right the other zero would be 1/2(1 +sqrt5i)
do you need the quadratic function?

you could multiply them together or just find it this way:

x = 1/2(1-sqrt5i)
Now work backwards until you get rid of "i" and right side is zero

--> 2x = 1-sqrt5i
2x -1 = -sqrt5i
(2x-1)^2 = -5
(2x-1)^2 +5 = 0

Answer 6

wait do they give you a function f(x) originally

Answer 7

Mhm and is that only finding one like i know i need to muiltyply both those zeros to get my number too divide by the function is 8x^3-14x^2+18x-9

Answer 8

ok i see

(x - 1/2(1-sqrt5i))(x -1/2(1+sqrt5i))

=x^2 -1/2x +xsqrt5i/2 -1/2x -xsqrt5i/2 +1/4(6)

= x^2 -x +3/2

Answer 9

then after dividing you should get:

8x-6 = 0

solve to get 3rd zero

Answer 10

Thankk you!!! Soo much