Find the modulus and argument (in radians) of -2 + 4i to 3 decimal places
Hence, find the following 5th roots of -2 + 4i i.e solve for z,[tex]z^{5}[/tex]= -2 + 4i.
How many roots are there?
All the roots have the same modulus.
What is the modulus? (to 3 decimal places)
What is the argument of the root with the least argument? in radians (to 3 decimal places)
What is the argument of the root with the greatest argument? in radians (to 3 decimal places)
If the roots are ordered in terms of their increasing arguments, what is the angle between successive roots? in radians (to 3 decimal places)