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Solving a Complex Number Equation

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Solve the equation z^2= -1 using z=(x,y) and the basic definitions.

a. z=(0,2),(0,-2)
b. z=(1,0),(-1,0)
c. z=(4,0),(-1,0)
d. z=(0,1),(0,-1).

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The solution gives a clear, concise set of steps showing the calculations taken to find the solution to the multiple-choice complex number problem given by the asker.

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The correct answer is (d)
z = (0,1), (0,-1)

since, z^2 = ...

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