z^4+4i*z^2+5=0

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Solution for z^4+4i*z^2+5=0 equation:


Simplifying
z4 + 4i * z2 + 5 = 0

Multiply i * z2
z4 + 4iz2 + 5 = 0

Reorder the terms:
5 + 4iz2 + z4 = 0

Solving
5 + 4iz2 + z4 = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + 4iz2 + -5 + z4 = 0 + -5

Reorder the terms:
5 + -5 + 4iz2 + z4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4iz2 + z4 = 0 + -5
4iz2 + z4 = 0 + -5

Combine like terms: 0 + -5 = -5
4iz2 + z4 = -5

Add '-1z4' to each side of the equation.
4iz2 + z4 + -1z4 = -5 + -1z4

Combine like terms: z4 + -1z4 = 0
4iz2 + 0 = -5 + -1z4
4iz2 = -5 + -1z4

Divide each side by '4z2'.
i = -1.25z-2 + -0.25z2

Simplifying
i = -1.25z-2 + -0.25z2

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