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Mathematics 12 Online
OpenStudy (anonymous):

Complex

OpenStudy (anonymous):

Let z on the circle |z| = 2 Estimate the value of |(z)/(z^3 - z^2 - 2z + 2)|

OpenStudy (kc_kennylau):

Firstly, factor the denominator

OpenStudy (kc_kennylau):

(z^2-2)(z-1)

OpenStudy (anonymous):

(z - 1)(z + sqrt(2))(z - sqrt(2))

OpenStudy (anonymous):

do we need partial fractions?

OpenStudy (kc_kennylau):

lolz sorry i don't know how to do this :'(

OpenStudy (kc_kennylau):

should we let z be a+bi lol

OpenStudy (kc_kennylau):

@ganeshie8 @Luigi0210

OpenStudy (anonymous):

np, let's figure it out together

OpenStudy (kc_kennylau):

@Callisto

OpenStudy (anonymous):

the result of partial fractions\[\frac{z+2}{z^2-2} - \frac{1}{z - 1}\]

OpenStudy (kc_kennylau):

i would just substitute z=2 inside it lolololol

OpenStudy (amoodarya):

|dw:1388385625264:dw| you could find the remainder of function in z=1 z=+- root(2)

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