Z^4+2iz^2+1=0

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Solution for Z^4+2iz^2+1=0 equation:


Simplifying
Z4 + 2iz2 + 1 = 0

Reorder the terms:
1 + Z4 + 2iz2 = 0

Solving
1 + Z4 + 2iz2 = 0

Solving for variable 'Z'.

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

Add '-1' to each side of the equation.
1 + Z4 + -1 + 2iz2 = 0 + -1

Reorder the terms:
1 + -1 + Z4 + 2iz2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Z4 + 2iz2 = 0 + -1
Z4 + 2iz2 = 0 + -1

Combine like terms: 0 + -1 = -1
Z4 + 2iz2 = -1

Add '-2iz2' to each side of the equation.
Z4 + 2iz2 + -2iz2 = -1 + -2iz2

Combine like terms: 2iz2 + -2iz2 = 0
Z4 + 0 = -1 + -2iz2
Z4 = -1 + -2iz2

Simplifying
Z4 = -1 + -2iz2

Reorder the terms:
1 + Z4 + 2iz2 = -1 + -2iz2 + 1 + 2iz2

Reorder the terms:
1 + Z4 + 2iz2 = -1 + 1 + -2iz2 + 2iz2

Combine like terms: -1 + 1 = 0
1 + Z4 + 2iz2 = 0 + -2iz2 + 2iz2
1 + Z4 + 2iz2 = -2iz2 + 2iz2

Combine like terms: -2iz2 + 2iz2 = 0
1 + Z4 + 2iz2 = 0

The solution to this equation could not be determined.

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