Question

In: Advanced Math

Solve the equation z^3/4 − 1 − i = 0 for z, and plot the solutions...

Solve the equation z^3/4 − 1 − i = 0 for z, and plot the solutions in the complex plane.

Expert Solution

we have,

we can write,

---------------------------------------------------------1)

we know that,

where,

compare 1 + i with a + bi we have a = 1 and b = 1

Hence,

Hence we can say that,

Put this value in equation 1) we can say that,

we know that,

Hence,

we can graph the same in complex plane as :

Colby Messinger answered 1 year ago

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