# Solving an Equation with Complex Numbers

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Solve the equation z^2+z+1=0 using z=(x,y) and the basic definitions. (Hint: Note that y does not equal 0 because the equation X^2+X+1 does not equal 0 for any real number x.)

a. z1=--1+j(Sqrt3)/2 and z2=-1/2-j(Sqrt3)/2

b. z1=-1/2+j(Sqrt3)/2 and z2=-1/2-j(Sqrt3)/2

c. z1=-1/3+j(Sqrt3)/2 and z2=-j(Sqrt3)/2

d. z1=3/2+j(Sqrt3)/2 and z2=-1/2-j(Sqrt3)/4.

https://brainmass.com/engineering/electrical-engineering/solving-equation-complex-numbers-43191

#### Solution Summary

The solution lays out a neat series of calculations that will bring the reader to the correct answer from the options provided to solve a given equation involving complex numbers. There is also a little worded explanation to guide the reader through the steps.

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