x^100-(1+i)x^50+i=0

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Solution for x^100-(1+i)x^50+i=0 equation:


Simplifying
x100 + -1(1 + i) * x50 + i = 0

Reorder the terms for easier multiplication:
x100 + -1x50(1 + i) + i = 0
x100 + (1 * -1x50 + i * -1x50) + i = 0

Reorder the terms:
x100 + (-1ix50 + -1x50) + i = 0
x100 + (-1ix50 + -1x50) + i = 0

Reorder the terms:
i + -1ix50 + -1x50 + x100 = 0

Solving
i + -1ix50 + -1x50 + x100 = 0

Solving for variable 'i'.

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

Add 'x50' to each side of the equation.
i + -1ix50 + -1x50 + x50 + x100 = 0 + x50

Combine like terms: -1x50 + x50 = 0
i + -1ix50 + 0 + x100 = 0 + x50
i + -1ix50 + x100 = 0 + x50
Remove the zero:
i + -1ix50 + x100 = x50

Add '-1x100' to each side of the equation.
i + -1ix50 + x100 + -1x100 = x50 + -1x100

Combine like terms: x100 + -1x100 = 0
i + -1ix50 + 0 = x50 + -1x100
i + -1ix50 = x50 + -1x100

Reorder the terms:
i + -1ix50 + -1x50 + x100 = x50 + -1x50 + -1x100 + x100

Combine like terms: x50 + -1x50 = 0
i + -1ix50 + -1x50 + x100 = 0 + -1x100 + x100
i + -1ix50 + -1x50 + x100 = -1x100 + x100

Combine like terms: -1x100 + x100 = 0
i + -1ix50 + -1x50 + x100 = 0

The solution to this equation could not be determined.

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