Explanation:
Step 1: Understanding Complex Numbers
Python supports complex numbers, which consist of two parts:
- Real part – the number without j.
- Imaginary part – the number multiplied by j.
In our code:
z = 3 + 4j
Here:
- 3 is the real part.
- 4 is the imaginary part.
- j represents the imaginary unit.
Step 2: Understanding z.real
z.real
The .real attribute returns the real part of a complex number.
Output:
3.0
Step 3: Understanding z.imag
z.imag
The .imag attribute returns the imaginary coefficient.
Output:
4.0
Step 4: Understanding the Exponent Operator **
Now consider:
z.imag ** 2
Since z.imag = 4.0, Python calculates:
\[
4.0^2 = 16.0
\]
Step 5: Understanding the Complete Expression
z.real + z.imag ** 2
Python follows operator precedence, so exponentiation happens before addition.
\[
3.0 + (4.0)^2
\]
\[
= 3.0 + 16.0
\]
\[
= 19.0
\]
Step 6: Understanding print()
The print() function displays the final calculated value.
3. Final Output
Output: 19.0
19.0
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