z^4+2iz^2+3=0

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Solution for z^4+2iz^2+3=0 equation:


Simplifying
z4 + 2iz2 + 3 = 0

Reorder the terms:
3 + 2iz2 + z4 = 0

Solving
3 + 2iz2 + z4 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + 2iz2 + -3 + z4 = 0 + -3

Reorder the terms:
3 + -3 + 2iz2 + z4 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2iz2 + z4 = 0 + -3
2iz2 + z4 = 0 + -3

Combine like terms: 0 + -3 = -3
2iz2 + z4 = -3

Add '-1z4' to each side of the equation.
2iz2 + z4 + -1z4 = -3 + -1z4

Combine like terms: z4 + -1z4 = 0
2iz2 + 0 = -3 + -1z4
2iz2 = -3 + -1z4

Divide each side by '2z2'.
i = -1.5z-2 + -0.5z2

Simplifying
i = -1.5z-2 + -0.5z2

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