z^4-3*i*z^2+4=0

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Solution for z^4-3*i*z^2+4=0 equation:


Simplifying
z4 + -3i * z2 + 4 = 0

Multiply i * z2
z4 + -3iz2 + 4 = 0

Reorder the terms:
4 + -3iz2 + z4 = 0

Solving
4 + -3iz2 + 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 + -3iz2 + -4 + z4 = 0 + -4

Reorder the terms:
4 + -4 + -3iz2 + z4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3iz2 + z4 = 0 + -4
-3iz2 + z4 = 0 + -4

Combine like terms: 0 + -4 = -4
-3iz2 + z4 = -4

Add '-1z4' to each side of the equation.
-3iz2 + z4 + -1z4 = -4 + -1z4

Combine like terms: z4 + -1z4 = 0
-3iz2 + 0 = -4 + -1z4
-3iz2 = -4 + -1z4

Divide each side by '-3z2'.
i = 1.333333333z-2 + 0.3333333333z2

Simplifying
i = 1.333333333z-2 + 0.3333333333z2

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