Question

Math

Posted 4 months ago

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The Imaginary unit, or $i$, is the number with the following equivalent properties:
- $i^{2}=-1$
- $\sqrt{-1}=i$
A complex number is any number that can be written as $a+b i$, where $i$ is the imaginary unit and $a$ and $b$ are real numbers.
$a$ is called the real part of the number, and $b$ is called the imaginary part of the number.
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Answer from Sia

Posted 4 months ago

Solution by Steps

step 1

Identify the real and imaginary parts of the complex number $a + bi$

step 2

The real part is represented by $a$ and the imaginary part by $b$

step 3

The imaginary unit $i$ satisfies the property that $i^2 = -1$

Answer

The real part of the complex number is $a$, and the imaginary part is $b$.

Key Concept

Complex Numbers

Explanation

A complex number is composed of a real part and an imaginary part, expressed as $a + bi$, where $i$ is the imaginary unit with the property $i^2 = -1$.

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