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How do you find the absolute value of an imaginary equation?

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Answer: To find the absolute value of an imaginary equation, you need to calculate the modulus (also known as the magnitude or absolute value) of the complex number.

The modulus of a complex number a + bi is defined as:

|a + bi| = sqrt(a^2 + b^2)

where sqrt() denotes the square root function.

So, to find the absolute value of an imaginary equation, you can follow these steps:

Step 1: Identify the imaginary part of the complex number.

An imaginary equation is of the form bi, where b is a real number and i is the imaginary unit (i.e., i^2 = -1). For example, if you have the equation 2i, the imaginary part is 2i.

Step 2: Find the real part of the complex number.

In the case of an imaginary equation, the real part is 0.

Step 3: Write the complex number in the form a + bi.

Since the real part of an imaginary equation is 0, you can write the complex number as bi.

Step 4: Calculate the modulus of the complex number.

The modulus of the complex number bi is |bi| = sqrt(0^2 + b^2) = sqrt(b^2) = |b|.

Therefore, the absolute value of an imaginary equation bi is simply the absolute value of the real coefficient b, which is |b|.

Explanation:

User Hisham Muneer
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