z^4-4iz^2-4=0

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Solution for z^4-4iz^2-4=0 equation:


Simplifying
z4 + -4iz2 + -4 = 0

Reorder the terms:
-4 + -4iz2 + z4 = 0

Solving
-4 + -4iz2 + z4 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + -4iz2 + 4 + z4 = 0 + 4

Reorder the terms:
-4 + 4 + -4iz2 + z4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4iz2 + z4 = 0 + 4
-4iz2 + z4 = 0 + 4

Combine like terms: 0 + 4 = 4
-4iz2 + z4 = 4

Add '-1z4' to each side of the equation.
-4iz2 + z4 + -1z4 = 4 + -1z4

Combine like terms: z4 + -1z4 = 0
-4iz2 + 0 = 4 + -1z4
-4iz2 = 4 + -1z4

Divide each side by '-4z2'.
i = -1z-2 + 0.25z2

Simplifying
i = -1z-2 + 0.25z2

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