z^4+6iz^2-8=0

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Solution for z^4+6iz^2-8=0 equation:


Simplifying
z4 + 6iz2 + -8 = 0

Reorder the terms:
-8 + 6iz2 + z4 = 0

Solving
-8 + 6iz2 + z4 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 6iz2 + 8 + z4 = 0 + 8

Reorder the terms:
-8 + 8 + 6iz2 + z4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6iz2 + z4 = 0 + 8
6iz2 + z4 = 0 + 8

Combine like terms: 0 + 8 = 8
6iz2 + z4 = 8

Add '-1z4' to each side of the equation.
6iz2 + z4 + -1z4 = 8 + -1z4

Combine like terms: z4 + -1z4 = 0
6iz2 + 0 = 8 + -1z4
6iz2 = 8 + -1z4

Divide each side by '6z2'.
i = 1.333333333z-2 + -0.1666666667z2

Simplifying
i = 1.333333333z-2 + -0.1666666667z2

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