SOLUTION: show an argand diagram of the three roots of the equation Z^3 -1=0

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Question 399468: show an argand diagram of the three roots of the equation
Z^3 -1=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the difference of two cubes factorization:





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

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