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Find Real Numbers aa And bb Such That the Equation a+bi=1012ia + b i = 10 - 12 i

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Find real numbers aa and bb such that the equation a+bi=1012ia + b i = 10 - 12 i is true.


Definitions:

Paradox Of Voting

The concept that in a large election, the probability of one vote being decisive is so small that rational voters have no incentive to vote.

Majority Voting

A decision-making process where the choice supported by more than half of the participants wins.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be consumed by one individual without preventing the consumption by others.

Paired-Choice Majority Voting

A decision-making process in which choices are presented in pairs and voted on, with the majority preference determining the winner in each pair.

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