z^4+1=sqrt(3)i

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Solution for z^4+1=sqrt(3)i equation:


Simplifying
z4 + 1 = sqrt(3) * i

Reorder the terms:
1 + z4 = sqrt(3) * i

Reorder the terms for easier multiplication:
1 + z4 = 3qrst * i

Multiply qrst * i
1 + z4 = 3iqrst

Solving
1 + z4 = 3iqrst

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 + -1 + z4 = -1 + 3iqrst

Combine like terms: 1 + -1 = 0
0 + z4 = -1 + 3iqrst
z4 = -1 + 3iqrst

Simplifying
z4 = -1 + 3iqrst

Reorder the terms:
1 + -3iqrst + z4 = -1 + 3iqrst + 1 + -3iqrst

Reorder the terms:
1 + -3iqrst + z4 = -1 + 1 + 3iqrst + -3iqrst

Combine like terms: -1 + 1 = 0
1 + -3iqrst + z4 = 0 + 3iqrst + -3iqrst
1 + -3iqrst + z4 = 3iqrst + -3iqrst

Combine like terms: 3iqrst + -3iqrst = 0
1 + -3iqrst + z4 = 0

The solution to this equation could not be determined.

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