SOLUTION: show an argand diagram of the three roots of the equation
Z^3 -1=0
Algebra.Com
Question 399468: show an argand diagram of the three roots of the equation
Z^3 -1=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the difference of two cubes factorization:
(a^2\ +\ ab\ +\ b^2))
(z^2\ +\ z\ +\ 1))
One root is 1, but in complex form that would be 
. Therefore, plot the point (1,0) on your 
axes.
For the other two roots, solve:
using the quadratic formula to get:
Hence, plot )
and )
on your axes.
John
My calculator said it, I believe it, that settles it
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