- #1
noahsdev
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Homework Statement
Let f(z) = z3-8 and g(z) = f(z-1). This information applies to questions 1-5.
1. Express g(z) in the form g(z) = z3+az2 +bz + c
2. Hence, solve g(z) = 0. Plot solutions on an Argand diagram.
Homework Equations
Factorisation
i2=-1
The Attempt at a Solution
I have done question 1.
g(z) = z3- 3z2 +3z - 9.
With question 2 I think z = 3 or z = √3i or -√3i. But (assuming I am correct) I am not sure what I do next. I am sure it is the simplest solution in the world but I have looked at it for so long I have confused myself.
Also as a side note, when plotting complex numbers is it a point or a line from the origin?
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