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: