Question

parts of complex numbers
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$z = 73i - 32$
what is the real part of $z$?

what is the imaginary part of $z$?

Explanation:

Step1: Recall complex number form

A complex number is in the form \( z = a + bi \), where \( a \) is the real part and \( b \) is the imaginary part (the coefficient of \( i \)).

Step2: Rewrite \( z = 73i - 32 \)

Rewrite the complex number in standard form \( z = -32 + 73i \).

Step3: Identify real part

From \( z = -32 + 73i \), the real part (the term without \( i \)) is \( -32 \).

Step4: Identify imaginary part

From \( z = -32 + 73i \), the imaginary part (the coefficient of \( i \)) is \( 73 \).

Answer:

Real part: \(-32\)
Imaginary part: \(73\)