x^4-3ix^2-2=0

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Solution for x^4-3ix^2-2=0 equation:


Simplifying
x4 + -3ix2 + -2 = 0

Reorder the terms:
-2 + -3ix2 + x4 = 0

Solving
-2 + -3ix2 + x4 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + -3ix2 + 2 + x4 = 0 + 2

Reorder the terms:
-2 + 2 + -3ix2 + x4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3ix2 + x4 = 0 + 2
-3ix2 + x4 = 0 + 2

Combine like terms: 0 + 2 = 2
-3ix2 + x4 = 2

Add '-1x4' to each side of the equation.
-3ix2 + x4 + -1x4 = 2 + -1x4

Combine like terms: x4 + -1x4 = 0
-3ix2 + 0 = 2 + -1x4
-3ix2 = 2 + -1x4

Divide each side by '-3x2'.
i = -0.6666666667x-2 + 0.3333333333x2

Simplifying
i = -0.6666666667x-2 + 0.3333333333x2

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