Question

Write the real and imaginary part of the complex number 1+3i/2-3i

Answer 1

Answer:

• First we are rationalize the denominator.
• then simplified.
• after that number that have i is a imaginary part and other number is real part.

Answer 2

Answer: real part = -7/13

imaginary part = 9i/13

Step-by-step explanation:

Given : 1+3i/2-3i

To find : real and imaginary part

= (1+ 3i)/(2-3i) x (2+3i)/(2+3i)

= 2+ 3i+6i+$9i^{2}$/4-$9i^{2}$

we know $i^{2}$ = -1

= 2+9i-9/4-9(-1)  

= -7 +9i/4+9

= -7+9i/13

= -7/13 +9i/13

real part = -7/13

imaginary part = 9i/13

A complex number is the product of a real and an imaginary number. In standard form, a complex number is represented as a + bi, where an is the real component and bi is the imaginary part. Complex numbers are those that are represented as a+ib, where a,b are real numbers and I is an imaginary number known as "iota."

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